Practice Equivalent Fractions in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

Two fractions $\frac{a}{b}$ and $\frac{c}{d}$ are equivalent if they represent the same value, which happens exactly when $a \times d = b \times c$ (cross-multiplication gives equal products).

Half a pizza is the same whether cut into 2 or 4 pieces: $\frac{1}{2} = \frac{2}{4}$ .

Showing a random 20 of 50 problems.

Example 1

medium

Simplify

\frac{36}{48}

to its lowest terms.

Example 2

medium

Fill in:

\frac{7}{9} = \frac{?}{45}

Example 3

easy

Simplify

\frac{10}{15}

Simplify 10/15 — compare the shaded areas.

Example 4

medium

Order from smallest to largest:

\frac{2}{3}, \frac{3}{4}, \frac{5}{8}

Example 5

medium

Simplify

\frac{24}{36}

Example 6

challenge

Prove that if

\frac{a}{b} = \frac{c}{d}

(with

b,d>0

), then

\frac{a+c}{b+d} = \frac{a}{b}

Example 7

easy

Are

\frac{3}{4}

and

\frac{9}{16}

equivalent?

Compare the shaded regions — are 3/4 and 9/16 equivalent?

Example 8

medium

Which is larger:

\frac{7}{12}

\frac{3}{5}

Example 9

medium

Simplify

\frac{42}{56}

Example 10

easy

Find an equivalent fraction to

\frac{3}{5}

with numerator

9

Find an equivalent fraction to 3/5 with numerator 9.

Example 11

medium

Which is greater:

\frac{3}{8}

\frac{5}{12}

Example 12

hard

Find all positive integer fractions equivalent to

\frac{4}{6}

whose denominator is at most 30.

Example 13

medium

Find an equivalent fraction to

\frac{6}{8}

with even larger numerator and denominator.

Find an equivalent fraction to 6/8 with a larger numerator and denominator.

Example 14

easy

\frac{7}{14}

in simplest form?

Is 7/14 in simplest form? Compare it to 1/2.

Example 15

easy

Are

\frac{2}{5}

and

\frac{8}{20}

equivalent?

Are 2/5 and 8/20 equivalent? Compare the shaded regions.

Example 16

medium

Find a fraction equivalent to

\frac{4}{9}

with denominator

27

Example 17

easy

Fill in the blank:

\frac{5}{6} = \frac{?}{30}

Example 18

medium

Find an equivalent fraction to

\frac{3}{7}

with denominator between

20

and

30

Example 19

challenge

Find the fraction equivalent to

\frac{2}{5}

whose numerator and denominator differ by exactly

6

Find the fraction equivalent to 2/5 whose numerator and denominator differ by 6.

Example 20

easy

Find an equivalent fraction to

\frac{1}{3}

with denominator

12

Find the equivalent fraction to 1/3 with denominator 12.

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Related Concepts

Fractions Multiplication Adding Fractions Simplification