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All questions of Fractions for Year 7 Exam
A __________ is a fraction that represents a part of a whole.- a)proper fraction
- b)improper fraction
- c)mixed fraction
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
A __________ is a fraction that represents a part of a whole.
a)
proper fraction
b)
improper fraction
c)
mixed fraction
d)
None of these
|
Kavya Rane answered |
In a fraction a/b, a is called the numerator and b is called the denominator. A fraction is a way to represent parts of a whole. The denominator b represents the number of equal parts the whole has been divided into, and the numerator a represents how many parts are included.
A fraction in which numerator is less than denominator is called proper fraction, means a fraction that is less than 1.
example: 1/2, 1/4, 3/8 etc.
- a)2/35
- b)35
- c)37/5
- d)35/2
Correct answer is option 'A'. Can you explain this answer?
a)
2/35
b)
35
c)
37/5
d)
35/2
|
Geetika Shah answered |
► (2 / 5) x (1 / 7) = (2 / 35)
The product of two proper fractions is ___________ each of the fractions that are multiplied.- a)more than
- b)greater than
- c)less than
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The product of two proper fractions is ___________ each of the fractions that are multiplied.
a)
more than
b)
greater than
c)
less than
d)
None of these
|
Tarun Sharma answered |
Explanation:
When two proper fractions are multiplied, the result is always less than each of the fractions that are multiplied. This can be explained using the following points:
1. Proper fractions are those fractions whose numerator is less than the denominator.
2. When two proper fractions are multiplied, the resulting fraction has a numerator which is the product of the numerators of the two fractions and the denominator is the product of the denominators of the two fractions.
3. Since the numerator and denominator of each fraction are positive integers, the product of the numerators and the product of the denominators are both positive integers.
4. When we compare the product of the two fractions with each of the fractions that are multiplied, we can see that the product is always less than each of the fractions.
5. This is because the numerator of the product is the product of the numerators of the two fractions, which is always less than each of the numerators, and the denominator of the product is the product of the denominators of the two fractions, which is always greater than each of the denominators.
6. Therefore, the product of two proper fractions is always less than each of the fractions that are multiplied.
Conclusion:
Hence, option 'C' is the correct answer as the product of two proper fractions is always less than each of the fractions that are multiplied.
When two proper fractions are multiplied, the result is always less than each of the fractions that are multiplied. This can be explained using the following points:
1. Proper fractions are those fractions whose numerator is less than the denominator.
2. When two proper fractions are multiplied, the resulting fraction has a numerator which is the product of the numerators of the two fractions and the denominator is the product of the denominators of the two fractions.
3. Since the numerator and denominator of each fraction are positive integers, the product of the numerators and the product of the denominators are both positive integers.
4. When we compare the product of the two fractions with each of the fractions that are multiplied, we can see that the product is always less than each of the fractions.
5. This is because the numerator of the product is the product of the numerators of the two fractions, which is always less than each of the numerators, and the denominator of the product is the product of the denominators of the two fractions, which is always greater than each of the denominators.
6. Therefore, the product of two proper fractions is always less than each of the fractions that are multiplied.
Conclusion:
Hence, option 'C' is the correct answer as the product of two proper fractions is always less than each of the fractions that are multiplied.
Multiply 2.05 and 1.3.- a)2.885
- b)2.665
- c)2.675
- d)2.691
Correct answer is option 'B'. Can you explain this answer?
Multiply 2.05 and 1.3.
a)
2.885
b)
2.665
c)
2.675
d)
2.691
|
|
Anita Menon answered |
When you multiply 2.05 by 1.3 you get 2.665 , because there are three decimal places.
Reciprocal of 7/2 is _____- a)7/2
- b)2/7
- c)3/7
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Reciprocal of 7/2 is _____
a)
7/2
b)
2/7
c)
3/7
d)
None of these
|
Vandana Mukherjee answered |
The reciprocal of 7/2 is 2/7. In general, the reciprocal of a fraction simply interchanges the numerator and denominator of the fraction. In other words, the reciprocal of a fraction a/b is b/a.
In a class of 40 students 1/5 of the total number of students like to study English, 2/5 of the total number like to study mathematics and the remaining students like to study Science.Q. How many students like to study English?- a)-1
- b)1
- c)-8
- d)8
Correct answer is option 'D'. Can you explain this answer?
In a class of 40 students 1/5 of the total number of students like to study English, 2/5 of the total number like to study mathematics and the remaining students like to study Science.
Q. How many students like to study English?
a)
-1
b)
1
c)
-8
d)
8
|
Jaya Joshi answered |
Number of students who like english = 1/5 of 40
= 1/5 ×40
= 8 students
= 1/5 ×40
= 8 students
If 2494 ÷ 14.5 = 172, then 24.94 ÷ 1.45 = ?
- a)0.172
- b)1.72
- c)17.2
- d)172
Correct answer is option 'C'. Can you explain this answer?
If 2494 ÷ 14.5 = 172, then 24.94 ÷ 1.45 = ?
a)
0.172
b)
1.72
c)
17.2
d)
172
|
|
Vandana Mukherjee answered |
- Given that 2494 ÷ 14.5 = 172
- To find 24.94 ÷ 1.45, we need to move the decimal point one place to the right for both numbers
- This gives us 249.4 ÷ 14.5
- Dividing 249.4 by 14.5 gives us 17.2
- Therefore, the answer is 17.2
- To find 24.94 ÷ 1.45, we need to move the decimal point one place to the right for both numbers
- This gives us 249.4 ÷ 14.5
- Dividing 249.4 by 14.5 gives us 17.2
- Therefore, the answer is 17.2
The product of two numbers is 2.0016. If one of them is 0.72, find the other number.- a)2.96
- b)2.56
- c)2.78
- d)1.26
Correct answer is option 'C'. Can you explain this answer?
The product of two numbers is 2.0016. If one of them is 0.72, find the other number.
a)
2.96
b)
2.56
c)
2.78
d)
1.26
|
Varun Kapoor answered |
Product of two numbers = 2.0016
One number = 0.72
Other number = (2.0016 ÷ 0.72)
One number = 0.72
Other number = (2.0016 ÷ 0.72)
Hence, the required number = 2.78
(1/3) of 3 is ____- a)2
- b)1
- c)3
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
(1/3) of 3 is ____
a)
2
b)
1
c)
3
d)
none of these
|
|
Varun Kapoor answered |
(⅓) of 3 means 1/3 * 3 = 1.
∵ 3 in numerator and denominator cancels out.
∵ 3 in numerator and denominator cancels out.
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:- a)9
- b)11
- c)13
- d)15
Correct answer is option 'D'. Can you explain this answer?
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
a)
9
b)
11
c)
13
d)
15
|
Priyanka Sharma answered |
Let the three integers be: x, x + 2 and x + 4.
Then, 3x = 2(x + 4) + 3
Then, 3x = 2(x + 4) + 3
► x = 11.
Third integer = x + 4 = 15.
Find the average of 4.2, 3.8 and 7.6.- a)1
- b)5.2
- c)0
- d)2.5
Correct answer is option 'B'. Can you explain this answer?
Find the average of 4.2, 3.8 and 7.6.
a)
1
b)
5.2
c)
0
d)
2.5
|
Prisha Mehta answered |
Average speed = Summation of all the speeds/ number of speeds
= 4.2 + 3.8 + 7.6/3
= 15.6/3
= 5.2 is the average speed.
(2/7)×3=_______- a)6/7
- b)11/7
- c)5/7
- d)23/7
Correct answer is option 'A'. Can you explain this answer?
(2/7)×3=_______
a)
6/7
b)
11/7
c)
5/7
d)
23/7
|
|
Priyanka Sharma answered |
► (2 / 7) × 3 = 6 / 7
What decimal of an hour is a second ?- a).0025
- b).0256
- c).00027
- d).000126
Correct answer is option 'C'. Can you explain this answer?
What decimal of an hour is a second ?
a)
.0025
b)
.0256
c)
.00027
d)
.000126
|
Ananya Choudhary answered |
There are 60 seconds in a minute, and 60 minutes in an hour.
So, Required decimal = 1/(60 x 60) = 1/3600 = 0.00027
How is the fractional number for "3 out of 7 of the fruits are apples" written?- a)3/7
- b)7/3
- c)4/7
- d)4/3
Correct answer is option 'A'. Can you explain this answer?
How is the fractional number for "3 out of 7 of the fruits are apples" written?
a)
3/7
b)
7/3
c)
4/7
d)
4/3
|
|
Himangshu Das answered |
3 out of 7 = 3/7 is the correct answer. Therefore option A is the correct answer...
0.02 × 0.03 = ______- a)0.006
- b)0.0006
- c)0.6
- d)6
Correct answer is option 'B'. Can you explain this answer?
0.02 × 0.03 = ______
a)
0.006
b)
0.0006
c)
0.6
d)
6
|
|
Priyanka Sharma answered |
0.02 × 0.03 = 0.0006
A fraction acts as an operator ________.- a)‘of ’
- b)on
- c)or
- d)None of these
Correct answer is 'A'. Can you explain this answer?
A fraction acts as an operator ________.
a)
‘of ’
b)
on
c)
or
d)
None of these
|
Ishaan Chatterjee answered |
A fraction acts as an operator ‘of ’. For example,1/3 of 3 is 1/3 x 3 = 1.
In semiconductors, at the room temperature- a)valence band is completely filled
- b)conduction band is completely empty
- c)valance band is partially empty and conduction band is partially filled
- d)valence band is completely filled and conduction band is partially filled
Correct answer is option 'C'. Can you explain this answer?
In semiconductors, at the room temperature
a)
valence band is completely filled
b)
conduction band is completely empty
c)
valance band is partially empty and conduction band is partially filled
d)
valence band is completely filled and conduction band is partially filled
|
Disha Khanna answered |
Explanation:
Semiconductors are materials that have a conductivity between conductors (metals) and insulators (non-metals). The conductivity of a semiconductor can be controlled by adding impurities or doping. At the room temperature, the following conditions hold true for semiconductors:
Valence Band:
- The valence band is the highest energy band that is completely filled with electrons.
- The valence band consists of the valence electrons that are tightly bound to the atoms.
- At room temperature, the valence band is partially filled with electrons, but it is not completely filled.
Conduction Band:
- The conduction band is the lowest energy band that is partially filled with electrons.
- The conduction band consists of the free electrons that are not bound to any particular atom and can move freely through the material.
- At room temperature, the conduction band is partially filled with electrons, but it is not completely empty.
Energy Gap:
- The energy gap or band gap is the energy difference between the valence band and the conduction band.
- In insulators, the energy gap is very large, and no electrons can move from the valence band to the conduction band.
- In conductors, the energy gap is zero, and the valence and conduction bands overlap.
- In semiconductors, the energy gap is small, and electrons can move from the valence band to the conduction band by absorbing energy.
Conclusion:
At room temperature, semiconductors have a partially filled valence band and a partially filled conduction band. This allows them to conduct electricity, but the conductivity can be controlled by adding impurities or doping.
Semiconductors are materials that have a conductivity between conductors (metals) and insulators (non-metals). The conductivity of a semiconductor can be controlled by adding impurities or doping. At the room temperature, the following conditions hold true for semiconductors:
Valence Band:
- The valence band is the highest energy band that is completely filled with electrons.
- The valence band consists of the valence electrons that are tightly bound to the atoms.
- At room temperature, the valence band is partially filled with electrons, but it is not completely filled.
Conduction Band:
- The conduction band is the lowest energy band that is partially filled with electrons.
- The conduction band consists of the free electrons that are not bound to any particular atom and can move freely through the material.
- At room temperature, the conduction band is partially filled with electrons, but it is not completely empty.
Energy Gap:
- The energy gap or band gap is the energy difference between the valence band and the conduction band.
- In insulators, the energy gap is very large, and no electrons can move from the valence band to the conduction band.
- In conductors, the energy gap is zero, and the valence and conduction bands overlap.
- In semiconductors, the energy gap is small, and electrons can move from the valence band to the conduction band by absorbing energy.
Conclusion:
At room temperature, semiconductors have a partially filled valence band and a partially filled conduction band. This allows them to conduct electricity, but the conductivity can be controlled by adding impurities or doping.
The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?- a)2010
- b)2011
- c)2012
- d)2013
Correct answer is option 'B'. Can you explain this answer?
The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?
a)
2010
b)
2011
c)
2012
d)
2013
|
|
Anita Menon answered |
Suppose commodity X will cost 40 paise more than Y after Z years. Then,
► (4.20 + 0.40Z) - (6.30 + 0.15Z) = 0.40
► 0.25Z = 0.40 + 2.10
► Z = (2.50 / 0.25) = 10
► 0.25Z = 0.40 + 2.10
► Z = (2.50 / 0.25) = 10
∴ X will cost 40 paise more than Y 10 years after 2001 i.e in 2011.
In a proper fraction, the numerator is ________ the denominator.
- a)Less than
- b)Greater than
- c)Similar
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
In a proper fraction, the numerator is ________ the denominator.
a)
Less than
b)
Greater than
c)
Similar
d)
None of these
|
Advait Pillai answered |
In a proper fraction, the numerator is always less than the denominator.
Examples of proper fractions include:
1/2, 9/13 and 1/1001.
Examples of proper fractions include:
1/2, 9/13 and 1/1001.
In a class 3/4th of the students do not know either English or Hindi. But 1/6th of the students know English. How much students know both English and Hindi if students who know Hindi are 1/8th of total students in the class? - a)1/24
- b)100/24
- c)10/12
- d)1/4
Correct answer is option 'A'. Can you explain this answer?
In a class 3/4th of the students do not know either English or Hindi. But 1/6th of the students know English. How much students know both English and Hindi if students who know Hindi are 1/8th of total students in the class?
a)
1/24
b)
100/24
c)
10/12
d)
1/4
|
Rishika Nair answered |
3/4th do not know English or Hindi
So 1/4Ik know English or Hindi or both
1/6th know English and 1/8th know Hindi
Answer is 1/24.
So 1/4Ik know English or Hindi or both
1/6th know English and 1/8th know Hindi
Answer is 1/24.
What is the mixed fraction form of 41/12
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
What is the mixed fraction form of 41/12
a)
b)
c)
d)
|
Naina Iyer answered |
Explanation:
- Quotient: The integer part of the division, which is 333, represents how many whole parts of the denominator fit into the numerator.
- Remainder: The leftover part after dividing, which is 555, represents the part of the fraction that does not fit into a whole number.
- Denominator: The original denominator 121212 remains unchanged for the fractional part.
What is the fractional form of five eighteenths?- a)15/18
- b)18/5
- c)5.18
- d)5/18
Correct answer is option 'D'. Can you explain this answer?
What is the fractional form of five eighteenths?
a)
15/18
b)
18/5
c)
5.18
d)
5/18
|
Raj Mukherjee answered |
The fractional form of five eighteenths
= 5/18
The largest of the fraction 
is- a)1/2
- b)5/6
- c)3/4
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
The largest of the fraction is
isa)
1/2
b)
5/6
c)
3/4
d)
None of these
|
|
Amit Sharma answered |
LCM of 3, 4, 6, 12 = 12
What type of fraction is the sum 3/4 + 2/4?- a)Proper fraction
- b)Improper fraction
- c)Mixed fraction
- d)Unit fraction
Correct answer is option 'B'. Can you explain this answer?
What type of fraction is the sum 3/4 + 2/4?
a)
Proper fraction
b)
Improper fraction
c)
Mixed fraction
d)
Unit fraction
|
|
Yashvi Choudhary answered |
3/4 + 2/4 = 3+2/4 = 5/4 is an improper fraction. Since, the numerator is greater than the denominator.
Shabana has to stitch 35 dresses. So, ar she has stitched 21 dresses. What fraction of dresses has she stitched?- a)7/9
- b)3/5
- c)6/5
- d)3/7
Correct answer is option 'B'. Can you explain this answer?
Shabana has to stitch 35 dresses. So, ar she has stitched 21 dresses. What fraction of dresses has she stitched?
a)
7/9
b)
3/5
c)
6/5
d)
3/7
|
EduRev Class 6 answered |
Shabana has stitched 21 dresses out of a total of 35 dresses. The fraction of dresses she has stitched is 21/35.
To simplify, divide both the numerator (21) and denominator (35) by their HCF, which is 7:
So, the correct fraction of dresses she has stitched is 3/5.
So, the correct fraction of dresses she has stitched is 3/5.
What will be the vulgar fraction of 0.75- a)3/5
- b)3/4
- c)3/2
- d)3/7
Correct answer is option 'B'. Can you explain this answer?
What will be the vulgar fraction of 0.75
a)
3/5
b)
3/4
c)
3/2
d)
3/7
|
|
Ananya Das answered |
► 0.75 = (75 / 100) = 3/4
Give an example for a proper fraction.- a)28/13
- b)11/23
- c)16/9
- d)14/3
Correct answer is option 'B'. Can you explain this answer?
Give an example for a proper fraction.
a)
28/13
b)
11/23
c)
16/9
d)
14/3
|
Subham Rane answered |
In a proper fraction, the numerator is less than the denominator.
By how much is 19/20 greater than 2/20?- a)21/20
- b)21/40
- c)17/20
- d)17/40
Correct answer is option 'C'. Can you explain this answer?
By how much is 19/20 greater than 2/20?
a)
21/20
b)
21/40
c)
17/20
d)
17/40
|
Shounak Joshi answered |
19/20 - 2/20 = 19 - 2/20 = 17/20
Two fractions are equivalent if their cross multiplications are- a)0.
- b)1.
- c)equal.
- d)not equal.
Correct answer is option 'C'. Can you explain this answer?
Two fractions are equivalent if their cross multiplications are
a)
0.
b)
1.
c)
equal.
d)
not equal.
|
Harshitha Mukherjee answered |
Two fractions are equivalent if they have the same value. The numbers may be different, but the overall value is the same. For example, 1/2 and 2/4 are equivalent fractions because they both represent one-half of something. To determine if two fractions are equivalent, cross multiply. To cross multiply, you multiple the numerator of the first fraction by the denominator of the second. Then you multiply the denominator of the first fraction by the numerator of the second. If the two numbers are equal, the fractions are equivalent. In this example 1 X 4 = 4 and 2 X 2 = 4. The fractions are therefore equivalent.
A fraction acts as an operator ________.- a)‘of ’
- b)on
- c)or
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
A fraction acts as an operator ________.
a)
‘of ’
b)
on
c)
or
d)
None of these
|
Keerthana Mukherjee answered |
Fraction as an operator ‘of ’
Fraction acts as an operator of. 'of' represents multiplication.
Ex: 1/3 of 90 = 1/3 × 90 = 30.
Fraction acts as an operator of. 'of' represents multiplication.
Ex: 1/3 of 90 = 1/3 × 90 = 30.
Which of the following is the decimal form of the fraction 7/20?- a)0.35
- b)0.25
- c)0.45
- d)0.40
Correct answer is option 'A'. Can you explain this answer?
Which of the following is the decimal form of the fraction 7/20?
a)
0.35
b)
0.25
c)
0.45
d)
0.40
|
|
Sannidhya Naskar answered |
The given fraction is given 7/20
Now divide 7 by 20
that' is equal to 0.35
So the answer is option a) 0.35
Now divide 7 by 20
that' is equal to 0.35
So the answer is option a) 0.35
Which of the following is not a proper fraction?- a)3/4
- b)7/8
- c)6/11
- d)8/5
Correct answer is option 'D'. Can you explain this answer?
Which of the following is not a proper fraction?
a)
3/4
b)
7/8
c)
6/11
d)
8/5
|
Siva Prasad answered |
The denominator is less than numerator
Which of the following is a proper fraction?- a)4/5
- b)6/5
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Which of the following is a proper fraction?
a)
4/5
b)
6/5
c)
d)
|
Subset Academy answered |
A proper fraction is a fraction where the numerator (the top number) is smaller than the denominator (the bottom number).
4/5 is a proper fraction because 4 is less than 5.
So, Option A: 45\frac{4}{5}54 is the correct answer.
4/5 is a proper fraction because 4 is less than 5.
So, Option A: 45\frac{4}{5}54 is the correct answer.
What is the equivalent fraction of 5/12 having denominator 84?- a)25/84
- b)35/84
- c)30/84
- d)40/84
Correct answer is option 'B'. Can you explain this answer?
What is the equivalent fraction of 5/12 having denominator 84?
a)
25/84
b)
35/84
c)
30/84
d)
40/84
|
|
Preethi Dasgupta answered |
Solution:
To find the equivalent fraction of 5/12 with a denominator of 84, we need to multiply both the numerator and the denominator by the same number so that the denominator becomes 84.
Step 1: Find the common factor between the current denominator (12) and the desired denominator (84).
- The common factor between 12 and 84 is 12.
Step 2: Divide the desired denominator (84) by the common factor (12) to find the multiplier.
- 84 ÷ 12 = 7
Step 3: Multiply both the numerator and the denominator of the given fraction by the multiplier.
- Numerator: 5 × 7 = 35
- Denominator: 12 × 7 = 84
Therefore, the equivalent fraction of 5/12 with a denominator of 84 is 35/84.
Explanation:
- Fractions represent parts of a whole. They can be equivalent to each other if their values are the same. To find an equivalent fraction, we can multiply or divide the numerator and denominator by the same number.
- In this question, we are given the fraction 5/12 and asked to find an equivalent fraction with a denominator of 84.
- To achieve this, we need to find the multiplier that will make the current denominator (12) equal to the desired denominator (84).
- The common factor between 12 and 84 is 12. Dividing 84 by 12 gives us a multiplier of 7.
- By multiplying both the numerator and denominator of the given fraction by 7, we get the equivalent fraction 35/84.
- This means that 35 out of 84 parts is the same as 5 out of 12 parts.
- The correct answer is option 'B' - 35/84.
To find the equivalent fraction of 5/12 with a denominator of 84, we need to multiply both the numerator and the denominator by the same number so that the denominator becomes 84.
Step 1: Find the common factor between the current denominator (12) and the desired denominator (84).
- The common factor between 12 and 84 is 12.
Step 2: Divide the desired denominator (84) by the common factor (12) to find the multiplier.
- 84 ÷ 12 = 7
Step 3: Multiply both the numerator and the denominator of the given fraction by the multiplier.
- Numerator: 5 × 7 = 35
- Denominator: 12 × 7 = 84
Therefore, the equivalent fraction of 5/12 with a denominator of 84 is 35/84.
Explanation:
- Fractions represent parts of a whole. They can be equivalent to each other if their values are the same. To find an equivalent fraction, we can multiply or divide the numerator and denominator by the same number.
- In this question, we are given the fraction 5/12 and asked to find an equivalent fraction with a denominator of 84.
- To achieve this, we need to find the multiplier that will make the current denominator (12) equal to the desired denominator (84).
- The common factor between 12 and 84 is 12. Dividing 84 by 12 gives us a multiplier of 7.
- By multiplying both the numerator and denominator of the given fraction by 7, we get the equivalent fraction 35/84.
- This means that 35 out of 84 parts is the same as 5 out of 12 parts.
- The correct answer is option 'B' - 35/84.
Which of the following fractions is the largest?- a)29/30
- b)29/23
- c)29/27
- d)29/25
Correct answer is option 'B'. Can you explain this answer?
Which of the following fractions is the largest?
a)
29/30
b)
29/23
c)
29/27
d)
29/25
|
Ameya Choudhury answered |
All fractions have the same numerator. So, the fraction having the smallest denominator is the largest.
∴ 29/23 is the required largest fraction.
Raju scored 9 marks in maths test. If the maximum marks of the test is 25, how is Raju's score represented as a fraction?- a)1/25
- b)16/25
- c)9/25
- d)25/25
Correct answer is option 'C'. Can you explain this answer?
Raju scored 9 marks in maths test. If the maximum marks of the test is 25, how is Raju's score represented as a fraction?
a)
1/25
b)
16/25
c)
9/25
d)
25/25
|
Ananya Das answered |
To represent Raju's score as a fraction, we need to express the number of marks he scored out of the maximum marks of the test. Let's break down the problem step by step:
1. Raju's score: Raju scored 9 marks in the maths test.
2. Maximum marks: The maximum marks of the test is given as 25.
3. Constructing the fraction: To represent Raju's score as a fraction, we need to express the number of marks he scored out of the maximum marks. Therefore, the numerator of the fraction will be Raju's score, which is 9. The denominator of the fraction will be the maximum marks, which is 25.
4. Simplifying the fraction: To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 9 and 25 is 1, as there are no common factors other than 1. So we cannot simplify the fraction any further.
5. Final representation: The fraction representing Raju's score is 9/25. This means that Raju scored 9 out of 25 marks in the maths test.
Therefore, the correct answer is option 'C' - 9/25.
1. Raju's score: Raju scored 9 marks in the maths test.
2. Maximum marks: The maximum marks of the test is given as 25.
3. Constructing the fraction: To represent Raju's score as a fraction, we need to express the number of marks he scored out of the maximum marks. Therefore, the numerator of the fraction will be Raju's score, which is 9. The denominator of the fraction will be the maximum marks, which is 25.
4. Simplifying the fraction: To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 9 and 25 is 1, as there are no common factors other than 1. So we cannot simplify the fraction any further.
5. Final representation: The fraction representing Raju's score is 9/25. This means that Raju scored 9 out of 25 marks in the maths test.
Therefore, the correct answer is option 'C' - 9/25.
to get 19?
What is the simplified form of the product 12/24 and 36/72- a)16/24
- b)3/5
- c)4
- d)1/4
Correct answer is option 'D'. Can you explain this answer?
What is the simplified form of the product 12/24 and 36/72
a)
16/24
b)
3/5
c)
4
d)
1/4
|
Isha Basak answered |
12/24 x 36/72 = 1/2 x 1/2 = 1/4
To reduce a rational number to its standard form, we divide its numerator and denominator by their- a)LCM
- b)HCF
- c)product
- d)multiple
Correct answer is option 'B'. Can you explain this answer?
To reduce a rational number to its standard form, we divide its numerator and denominator by their
a)
LCM
b)
HCF
c)
product
d)
multiple
|
|
Subset Academy answered |
To reduce a rational number to its standard form, we divide its numerator and denominator by their HCF (Highest Common Factor). This ensures the fraction is in its simplest form.
Which of the following is not in the lowest form?- a)7/5
- b)15/20
- c)13/33
- d)27/28
Correct answer is option 'B'. Can you explain this answer?
Which of the following is not in the lowest form?
a)
7/5
b)
15/20
c)
13/33
d)
27/28
|
Vp Classes answered |
To determine if a fraction is in its lowest form, we check if the numerator and denominator have any common factors other than 1.
- 15/20: The HCF of 15 and 20 is 5. So, 15/20 can be simplified to 3/4. Thus, it is not in its lowest form.
- 7/5, 13/33, and 27/28 are already in their lowest form because their numerators and denominators have no common factors other than 1.
What is the equivalent fraction of 56/70 with numerator 4?- a)4/15
- b)4/6
- c)4/5
- d)4/7
Correct answer is option 'C'. Can you explain this answer?
What is the equivalent fraction of 56/70 with numerator 4?
a)
4/15
b)
4/6
c)
4/5
d)
4/7
|
Maitri Bajaj answered |
To find the equivalent fraction of 56/70 with a numerator of 4, we need to divide both the numerator and the denominator by the same number to simplify the fraction.
Step 1: Find the greatest common divisor (GCD) of 56 and 70.
The GCD of 56 and 70 is 14.
Step 2: Divide both the numerator and the denominator by the GCD.
56 ÷ 14 = 4
70 ÷ 14 = 5
Therefore, the equivalent fraction of 56/70 with a numerator of 4 is 4/5.
Explanation:
- To find an equivalent fraction, we need to divide both the numerator and the denominator by the same number.
- The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder.
- In this case, the GCD of 56 and 70 is 14.
- Dividing both the numerator and the denominator by 14 simplifies the fraction to 4/5.
- This means that 4/5 is an equivalent fraction to 56/70, with a numerator of 4.
- Option C, 4/5, is the correct answer.
Step 1: Find the greatest common divisor (GCD) of 56 and 70.
The GCD of 56 and 70 is 14.
Step 2: Divide both the numerator and the denominator by the GCD.
56 ÷ 14 = 4
70 ÷ 14 = 5
Therefore, the equivalent fraction of 56/70 with a numerator of 4 is 4/5.
Explanation:
- To find an equivalent fraction, we need to divide both the numerator and the denominator by the same number.
- The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder.
- In this case, the GCD of 56 and 70 is 14.
- Dividing both the numerator and the denominator by 14 simplifies the fraction to 4/5.
- This means that 4/5 is an equivalent fraction to 56/70, with a numerator of 4.
- Option C, 4/5, is the correct answer.
What are the fractions with the same denominator called?- a)Unit fractions
- b)Unlike fractions
- c)Like fractions
- d)Improper fractions
Correct answer is option 'C'. Can you explain this answer?
What are the fractions with the same denominator called?
a)
Unit fractions
b)
Unlike fractions
c)
Like fractions
d)
Improper fractions
|
Shiksha Academy answered |
Fractions with the same denominator are called like fractions. For example:
- Examples of like fractions: 2/7, 5/7, 9/7
- Unlike fractions have different denominators: 1/4, 3/8, 5/6
- Unit fractions have numerator as 1: 1/2, 1/3, 1/4
- Improper fractions have numerator greater than or equal to the denominator: 7/5, 9/4
The mixed fraction 
can be expressed as - a)33/7
- b)39/7
- c)33/4
- d)39/4
Correct answer is option 'B'. Can you explain this answer?
The mixed fraction can be expressed as
can be expressed as a)
33/7
b)
39/7
c)
33/4
d)
39/4
|
|
Shiksha Academy answered |
To convert the mixed fraction 
into an improper fraction:
into an improper fraction:- Multiply the whole number (5) by the denominator (7): 5 × 7 = 35
- Add the numerator of the fraction (4) to the result: 35 + 4 = 39
- The improper fraction is 39/7.
Thus, 
can be expressed as 39/7.
can be expressed as 39/7.
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