This math worksheet challenges students to find the equivalent fraction for each problem by circling the correct choice among four options.

Let's solve each problem step by step. The task is to circle the equivalent fraction for each given fraction. We'll simplify each given fraction and then compare it with the options.

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1) $\frac{11}{33}$

Simplify:
$\frac{11}{33} = \frac{1}{3}$ (divide numerator and denominator by 11)

Now check options:
- $\frac{6}{5} = 1.2$ → not equal
- $\frac{4}{8} = \frac{1}{2}$ → not equal
- $\frac{1}{3}$ → ✔ This matches!
- $\frac{1}{9}$ → no

✔ Answer: $\frac{1}{3}$

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2) $\frac{14}{28}$

Simplify:
$\frac{14}{28} = \frac{1}{2}$ (divide by 14)

Options:
- $\frac{1}{10}$ → no
- $\frac{4}{12} = \frac{1}{3}$ → no
- $\frac{1}{2}$ → ✔ Matches!
- $\frac{12}{16} = \frac{3}{4}$ → no

✔ Answer: $\frac{1}{2}$

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3) $\frac{13}{52}$

Simplify:
$\frac{13}{52} = \frac{1}{4}$ (divide by 13)

Options:
- $\frac{7}{5} = 1.4$ → no
- $\frac{1}{4}$ → ✔ Yes!
- $\frac{9}{2} = 4.5$ → no
- $\frac{1}{10}$ → no

✔ Answer: $\frac{1}{4}$

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4) $\frac{10}{80}$

Simplify:
$\frac{10}{80} = \frac{1}{8}$ (divide by 10)

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) $\frac{18}{72}$

Simplify:
$\frac{18}{72} = \frac{1}{4}$ (divide by 18)

Options:
- $\frac{1}{4}$ → ✔ Yes!
- $\frac{1}{9}$ → no
- $\frac{2}{5} = 0.4$ → no
- $\frac{4}{3} ≈ 1.33$ → no

✔ Answer: $\frac{1}{4}$

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6) $\frac{19}{38}$

Simplify:
$\frac{19}{38} = \frac{1}{2}$ (divide by 19)

Options:
- $\frac{1}{5}$ → no
- $\frac{1}{2}$ → ✔ Yes!
- $\frac{8}{5} = 1.6$ → no
- $\frac{3}{13} ≈ 0.23$ → no

✔ Answer: $\frac{1}{2}$

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7) $\frac{5}{70}$

Simplify:
$\frac{5}{70} = \frac{1}{14}$ (divide by 5)

Options:
- $\frac{6}{8} = \frac{3}{4}$ → no
- $\frac{1}{6}$ → no
- $\frac{6}{8} = \frac{3}{4}$ → no
- $\frac{1}{14}$ → ✔ Yes!

✔ Answer: $\frac{1}{14}$

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8) $\frac{6}{66}$

Simplify:
$\frac{6}{66} = \frac{1}{11}$ (divide by 6)

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

✔ Answer: $\frac{1}{11}$

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✔ Final Answers:

1) $\boxed{\frac{1}{3}}$
2) $\boxed{\frac{1}{2}}$
3) $\boxed{\frac{1}{4}}$
4) $\boxed{\frac{1}{8}}$
5) $\boxed{\frac{1}{4}}$
6) $\boxed{\frac{1}{2}}$
7) $\boxed{\frac{1}{14}}$
8) $\boxed{\frac{1}{11}}$

> You should circle these fractions in the worksheet.