Class 6 Equivalent Fractions — practice questions with answers

Fractions · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Which fraction is equivalent to

\frac{1}{2}

A $\frac{2}{4}$
B $\frac{2}{3}$
C $\frac{1}{3}$
D $\frac{3}{5}$

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Answer: A)

\frac{2}{4}

Multiply numerator and denominator of

\frac{1}{2}

by 2:

\frac{1 \times 2}{2 \times 2} = \frac{2}{4}

2. Which pair shows equivalent fractions?

A $\frac{4}{6}$ and $\frac{6}{9}$
B $\frac{2}{3}$ and $\frac{3}{4}$
C $\frac{1}{2}$ and $\frac{2}{5}$
D $\frac{3}{8}$ and $\frac{2}{6}$

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Answer: A)

\frac{4}{6}

and

\frac{6}{9}

\frac{4}{6} = \frac{2}{3}

and

\frac{6}{9} = \frac{2}{3}

, so they are equivalent. The other pairs reduce to different fractions.

3. Reduce

\frac{21}{28}

to its simplest form.

A $\frac{3}{4}$
B $\frac{2}{3}$
C $\frac{7}{9}$
D $\frac{3}{7}$

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Answer: A)

\frac{3}{4}

HCF of 21 and 28 is 7:

\frac{21}{28} = \frac{21/7}{28/7} = \frac{3}{4}

4. A chocolate bar is divided into 24 squares.
Deepak eats a number of squares equal to the fraction

\frac{5}{8}

of the bar.
How many squares did he eat?

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Answer: C) 15

Find

\frac{5}{8}

with denominator 24:

8 \times 3 = 24

, so

5 \times 3 = 15

. He ate 15 squares.

5. A water cooler is

\frac{5}{6}

full.
Monika reads it on Scale X (out of 18) and Tarun reads it on Scale Y (out of 42).
What is the difference between Tarun's reading and Monika's reading (in parts)?

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Answer: C) 20

\frac{5}{6}

of 18:

6 \times 3 = 18

, so

5 \times 3 = 15

\frac{5}{6}

of 42:

6 \times 7 = 42

, so

5 \times 7 = 35

. Difference = 35 - 15 = 20.

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