Grade 4 - Equivalent Fraction Worksheet 3 - Kidschoolz - Free Printable

Let's solve each problem step by step. The task is to circle the equivalent fraction for each given fraction. To do this, we simplify the original fraction and then find which option matches it.

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1) $\frac{9}{27}$

Simplify:
$\frac{9}{27} = \frac{1}{3}$ (divide numerator and denominator by 9)

Now check options:
- $\frac{6}{5}$ → no
- $\frac{4}{8} = \frac{1}{2}$ → no
- $\frac{1}{3}$ → ✔ yes
- $\frac{1}{9}$ → no

✔ Answer: $\frac{1}{3}$

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2) $\frac{6}{30}$

Simplify:
$\frac{6}{30} = \frac{1}{5}$ (divide by 6)

Options:
- $\frac{1}{10}$ → no
- $\frac{4}{12} = \frac{1}{3}$ → no
- $\frac{1}{5}$ → ✔ yes
- $\frac{12}{16} = \frac{3}{4}$ → no

✔ Answer: $\frac{1}{5}$

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3) $\frac{8}{64}$

Simplify:
$\frac{8}{64} = \frac{1}{8}$ (divide by 8)

Options:
- $\frac{7}{5}$ → no
- $\frac{1}{8}$ → ✔ yes
- $\frac{9}{2}$ → no
- $\frac{1}{10}$ → no

✔ Answer: $\frac{1}{8}$

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4) $\frac{7}{56}$

Simplify:
$\frac{7}{56} = \frac{1}{8}$ (divide by 7)

Options:
- $\frac{9}{3} = 3$ → no
- $\frac{1}{8}$ → ✔ yes
- $\frac{3}{6} = \frac{1}{2}$ → no
- $\frac{6}{8} = \frac{3}{4}$ → no

✔ Answer: $\frac{1}{8}$

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5) $\frac{8}{72}$

Simplify:
$\frac{8}{72} = \frac{1}{9}$ (divide by 8)

Options:
- $\frac{1}{4}$ → no
- $\frac{1}{9}$ → ✔ yes
- $\frac{2}{5}$ → no
- $\frac{4}{3}$ → no

✔ Answer: $\frac{1}{9}$

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6) $\frac{9}{18}$

Simplify:
$\frac{9}{18} = \frac{1}{2}$ (divide by 9)

Options:
- $\frac{1}{5}$ → no
- $\frac{1}{2}$ → ✔ yes
- $\frac{8}{5}$ → no
- $\frac{3}{13}$ → no

✔ Answer: $\frac{1}{2}$

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7) $\frac{9}{36}$

Simplify:
$\frac{9}{36} = \frac{1}{4}$ (divide by 9)

Options:
- $\frac{6}{8} = \frac{3}{4}$ → no
- $\frac{1}{6}$ → no
- $\frac{6}{8} = \frac{3}{4}$ → no
- $\frac{1}{4}$ → ✔ yes

✔ Answer: $\frac{1}{4}$

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8) $\frac{5}{45}$

Simplify:
$\frac{5}{45} = \frac{1}{9}$ (divide by 5)

Options:
- $\frac{1}{12}$ → no
- $\frac{2}{11}$ → no
- $\frac{1}{9}$ → ✔ yes
- $\frac{4}{8} = \frac{1}{2}$ → no

✔ Answer: $\frac{1}{9}$

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✔ Final Answers:

1) $\boxed{\frac{1}{3}}$
2) $\boxed{\frac{1}{5}}$
3) $\boxed{\frac{1}{8}}$
4) $\boxed{\frac{1}{8}}$
5) $\boxed{\frac{1}{9}}$
6) $\boxed{\frac{1}{2}}$
7) $\boxed{\frac{1}{4}}$
8) $\boxed{\frac{1}{9}}$

You should circle these fractions in the worksheet.