Equivalent Fraction Worksheets - Free Printable

Let's solve the Equivalent Fractions worksheet step by step.

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Part A: Choose the correct equivalent fraction in each problem

We will simplify or convert each given fraction to find its equivalent among the choices.

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#### 1) $\frac{2}{16} = ?$

Simplify $\frac{2}{16}$:

- Divide numerator and denominator by 2:
$\frac{2 \div 2}{16 \div 2} = \frac{1}{8}$

✔ Answer: b) $\frac{1}{8}$

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#### 2) $\frac{1}{3} = ?$

Find a fraction equivalent to $\frac{1}{3}$. Let's check options:

a) $\frac{3}{15} = \frac{1}{5}$ → Not equal
b) $\frac{2}{14} = \frac{1}{7}$ → Not equal
c) $\frac{8}{24} = \frac{1}{3}$ → Yes! (Divide both by 8)
d) $\frac{5}{10} = \frac{1}{2}$ → Not equal

✔ Answer: c) $\frac{8}{24}$

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#### 3) $\frac{25}{10} = ?$

Simplify $\frac{25}{10}$:

- Divide numerator and denominator by 5:
$\frac{25 \div 5}{10 \div 5} = \frac{5}{2}$

✔ Answer: a) $\frac{5}{2}$

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#### 4) $\frac{4}{12} = ?$

Simplify $\frac{4}{12}$:

- Divide by 4: $\frac{4 \div 4}{12 \div 4} = \frac{1}{3}$

Now check which option equals $\frac{1}{3}$:

a) $\frac{14}{6} = \frac{7}{3}$ → No
b) $\frac{3}{18} = \frac{1}{6}$ → No
c) $\frac{1}{2}$ → No
d) $\frac{6}{18} = \frac{1}{3}$ → Yes!

✔ Answer: d) $\frac{6}{18}$

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#### 5) $\frac{36}{45} = ?$

Simplify $\frac{36}{45}$:

- Divide numerator and denominator by 9:
$\frac{36 \div 9}{45 \div 9} = \frac{4}{5}$

Check options:

a) $\frac{9}{5}$ → No
b) $\frac{4}{5}$ → Yes!
c) $\frac{15}{25} = \frac{3}{5}$ → No
d) $\frac{2}{18} = \frac{1}{9}$ → No

✔ Answer: b) $\frac{4}{5}$

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#### 6) $\frac{3}{18} = ?$

Simplify $\frac{3}{18}$:

- Divide by 3: $\frac{3 \div 3}{18 \div 3} = \frac{1}{6}$

Now check options:

a) $\frac{5}{30} = \frac{1}{6}$ → Yes!
b) $\frac{1}{9}$ → No
c) $\frac{4}{16} = \frac{1}{4}$ → No
d) $\frac{1}{2}$ → No

✔ Answer: a) $\frac{5}{30}$

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✔ Part A Answers:

1. b) $\frac{1}{8}$
2. c) $\frac{8}{24}$
3. a) $\frac{5}{2}$
4. d) $\frac{6}{18}$
5. b) $\frac{4}{5}$
6. a) $\frac{5}{30}$

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Part B: Write any 3 equivalent fractions

We generate equivalent fractions by multiplying numerator and denominator by the same number.

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#### 1) $\frac{7}{4} =$

Multiply numerator and denominator by 2, 3, 4:

- $\frac{7 \times 2}{4 \times 2} = \frac{14}{8}$
- $\frac{7 \times 3}{4 \times 3} = \frac{21}{12}$
- $\frac{7 \times 4}{4 \times 4} = \frac{28}{16}$

✔ Examples: $\frac{14}{8}, \frac{21}{12}, \frac{28}{16}$

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#### 2) $\frac{1}{6} =$

Multiply by 2, 3, 4:

- $\frac{1 \times 2}{6 \times 2} = \frac{2}{12}$
- $\frac{1 \times 3}{6 \times 3} = \frac{3}{18}$
- $\frac{1 \times 4}{6 \times 4} = \frac{4}{24}$

✔ Examples: $\frac{2}{12}, \frac{3}{18}, \frac{4}{24}$

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#### 3) $\frac{2}{5} =$

Multiply by 2, 3, 4:

- $\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$
- $\frac{2 \times 3}{5 \times 3} = \frac{6}{15}$
- $\frac{2 \times 4}{5 \times 4} = \frac{8}{20}$

✔ Examples: $\frac{4}{10}, \frac{6}{15}, \frac{8}{20}$

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✔ Final Answers:

#### Part A:
1. b) $\frac{1}{8}$
2. c) $\frac{8}{24}$
3. a) $\frac{5}{2}$
4. d) $\frac{6}{18}$
5. b) $\frac{4}{5}$
6. a) $\frac{5}{30}$

#### Part B:
1) $\frac{7}{4} = \frac{14}{8}, \frac{21}{12}, \frac{28}{16}$
2) $\frac{1}{6} = \frac{2}{12}, \frac{3}{18}, \frac{4}{24}$
3) $\frac{2}{5} = \frac{4}{10}, \frac{6}{15}, \frac{8}{20}$

> ✔️ These are all correct and valid equivalent fractions.

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