Olympiad Test: Fractions - Grade 6 MCQ

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.

• A proper fraction has a numerator smaller than the denominator.
• Option b: 11 is less than 23.
• The other options have numerators larger than their denominators.

• The phrase "five eighteenths" refers to a fraction.
• The numerator (top number) is 5, representing the "five."
• The denominator (bottom number) is 18, representing the "eighteenths."
• Therefore, the fractional form is written as 5/18.
• This indicates that out of 18 equal parts, we are considering 5 parts.

The shaded part represents 

consider one box value = 1 

boxes shaded (full) = 2 

boxes shade (half) = 1 

therefore total =​

Maximum marks = 25 Marks scored by Raju = 9 

∴ Raju's score represented as a fraction 

= 9/25

 All fractions have the same numerator. So, the fraction having the smallest denominator is the largest. 

∴ 29/23 is the required largest fraction.

• Start with the fraction 11/17.
• To reach 15/17, the numerator needs to increase by 4 while keeping the denominator the same.
• Add 4/17 to 11/17:
• 11/17 + 4/17 = (11 + 4)/17 = 15/17.
• Therefore, adding 4/17 is the correct choice.

19/20 - 2/20  = 19 - 2/20 = 17/20

3/4 + 2/4 = 3+2/4 = 5/4 is an improper fraction. Since, the numerator is greater than the denominator.

Two halves make 1 whole.

(a) In the given object, there are a total of 4 squares and 1 square is shaded amongst them. Therefore, the ratio of shaded square to the total number of squares is:

Shaded​/Total = 1/4​ 

which is one fourth of the whole object.

(b) In the given object, there are no equal parts which simply means that there is no one fourth of the whole object.

(c) In the given triangular object, there are no equal parts which simply means that there is no one fourth of the whole object.

(d) In the given object, there are a total of 3 squares and 1 square is shaded amongst them. Therefore, the ratio of shaded square to the total number of squares is:

Shaded/Total = 1/3​ 

which is not one fourth of the whole object.

2/5 = x/15
2*15 / 5 = x
6 = x.

A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, 1/4 ,1/5, etc.

• Given: 3 out of 7 fruits are apples


• Fractional representation: To represent this as a fraction, we take the number of apples (3) as the numerator and the total number of fruits (7) as the denominator


• Writing as a fraction: Therefore, the fractional number for "3 out of 7 of the fruits are apples" is written as 3/7

Step 1: Subtract the numerators (since denominators are the same):

19 - 2 = 17

Step 2: Keep the denominator the same:

17/20

• Equivalent Fractions: Two fractions are equivalent if their cross multiplications are equal.


• Cross Multiplication: Cross multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and vice versa.


• Example: If we have two fractions, a/b and c/d, they are equivalent if ad = bc.


• Proof: Let's consider two fractions, a/b and c/d. Their cross multiplication would be ad and bc.


• If ad = bc: This means that the fractions are equivalent because the cross multiplications are equal.


• If ad ≠ bc: This means that the fractions are not equivalent because the cross multiplications are not equal.

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