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Calculations:
24/25 = 0.96
10/11 = 0.90
99/100 = 0.99
68/69 = 0.98
∴ 10/11 is the least fraction.
Concept Used:
a/b and c/d are two numbers,
then (a × d) and (b × c) are need to be compared.
Calculation:
We have, 9/16 and 13/24
⇒ 9 × 24 = 216
⇒ 13 × 16 = 208
⇒ 216 > 208
⇒ 9/16 > 13/24.
∴ Option 3 is correct.
= 1
⇒
⇒ 2x = 2  x
⇒ 3x = 2
⇒ x = 2/3
∴ The value of x is 2/3
The correct option is 3 i.e. 2/3
If (2x + 3y)/(3x  4y) = 11/7, then the value of x/y is ________
(2x + 3y)/(3x  4y) = 11/7
⇒ 14x + 21y = 33x  44y
⇒ 65y = 19x
∴ x/y = 65/19
Arrange the fractions 3/4, 5/12, 11/18, 17/24 in ascending order
Given:
Our given fraction is 3/4, 5/12, 11/18, 17/24
Caoncept used:
Make denominator of each fraction same,
Calculation:
3/4 = (3 × 18) / (4 × 18) = 54/72
5/12 = (5 × 6) / (12 × 6) = 30/72
11/18 = (11 × 4) / (18 × 4) = 44/72
17/24 = (17 × 3) / (24 × 3) = 51/72
∴ Ascending order of given franctions is
Given:
Calculation:
⇒
⇒
⇒ 5x/(2 – x) = 1
⇒ 5x = 2 – x
⇒ 6x = 2
⇒ x = 2/6
∴ The required value of x is 1/3.
In a group of students, 1/5 are aged below 8 years. Of the remaining 2/5 are above 8 years. What fraction of the students are exactly 8 years of age?
Let the total number of students in the group be 1
Number of students who are below age 8 = 1 × 1/5 = 1/5
Remaining students = 1 – 1/5 = 4/5
Number of students who are above age 8 = 4/5 × 2/5 = 8/25
Number of students who are exactly 8 years old = 1 – 1/5 – 8/25 = 12/25
What will come in place of question mark '?' in the following question?
Calculations:
Given expression is,
⇒
⇒
⇒
⇒
⇒
⇒ ? = 144/18
⇒ ? = 8
Directions: What will come in place of the question mark (?) in the following questions?
Q. ? = {(2.5)^{3 }+ (1.5)^{3}}/{(2.5)^{3} – (1.5)^{3}}
Given:
{(2.5)^{3} + (1.5)^{3}}/{(2.5)^{3} – (1.5)^{3}}
Calculation:
⇒ ? = {(2.5)^{3} + (1.5)^{3}}/{(2.5)^{3} – (1.5)^{3}}
⇒ ? = (15.625 + 3.375)/(15.625  3.375)
⇒ ? = 19/12.25
⇒ ? = 1900/1225 = 76/49
If the fractions 7/13, 2/3, 4/11, 5/9 are arranged in ascending order, then the correct sequence is ?
(7/13) = 0.538
(2/3) = 0.666
(4/11) = 0.3636
(5/9) = 0.5555
Out of 2/3, 7/13, 4/11, 5/9
2/3 is the largest number followed by 5/9 then 7/13 and the smallest is 4/11.
∴ The ascending order will be 4/11, 7/13, 5/9, 2/3.
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