Grade 5 Equivalent Fractions Worksheets | Free Printables - Free Printable

Let's solve each of these equivalent fractions step by step. The goal is to find the missing number (represented by a box) that makes the two fractions equal.

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1. $ \frac{\square}{4} = \frac{2}{8} $

We simplify $ \frac{2}{8} $:
$ \frac{2}{8} = \frac{1}{4} $

So, $ \frac{\square}{4} = \frac{1}{4} $ → $ \square = 1 $

✔ Answer: 1

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2. $ \frac{1}{\square} = \frac{3}{9} $

Simplify $ \frac{3}{9} $:
$ \frac{3}{9} = \frac{1}{3} $

So, $ \frac{1}{\square} = \frac{1}{3} $ → $ \square = 3 $

✔ Answer: 3

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3. $ \frac{2}{3} = \frac{\square}{9} $

We want to scale $ \frac{2}{3} $ to have denominator 9.
Multiply numerator and denominator by 3:
$ \frac{2 \times 3}{3 \times 3} = \frac{6}{9} $

So, $ \square = 6 $

✔ Answer: 6

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4. $ \frac{1}{3} = \frac{\square}{15} $

Scale $ \frac{1}{3} $ to denominator 15:
$ 3 \times 5 = 15 $, so multiply numerator by 5:
$ \frac{1 \times 5}{3 \times 5} = \frac{5}{15} $

So, $ \square = 5 $

✔ Answer: 5

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5. $ \frac{1}{\square} = \frac{10}{20} $

Simplify $ \frac{10}{20} $:
$ \frac{10}{20} = \frac{1}{2} $

So, $ \frac{1}{\square} = \frac{1}{2} $ → $ \square = 2 $

✔ Answer: 2

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6. $ \frac{2}{\square} = \frac{14}{21} $

Simplify $ \frac{14}{21} $:
Divide numerator and denominator by 7:
$ \frac{14 ÷ 7}{21 ÷ 7} = \frac{2}{3} $

So, $ \frac{2}{\square} = \frac{2}{3} $ → $ \square = 3 $

✔ Answer: 3

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7. $ \frac{1}{\square} = \frac{11}{66} $

Simplify $ \frac{11}{66} $:
Divide numerator and denominator by 11:
$ \frac{11 ÷ 11}{66 ÷ 11} = \frac{1}{6} $

So, $ \frac{1}{\square} = \frac{1}{6} $ → $ \square = 6 $

✔ Answer: 6

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8. $ \frac{3}{4} = \frac{\square}{24} $

Scale $ \frac{3}{4} $ to denominator 24:
$ 4 \times 6 = 24 $, so multiply numerator by 6:
$ \frac{3 \times 6}{4 \times 6} = \frac{18}{24} $

So, $ \square = 18 $

✔ Answer: 18

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9. $ \frac{1}{5} = \frac{2}{\square} $

We see that numerator went from 1 to 2 → multiplied by 2.
So denominator must also be multiplied by 2:
$ 5 \times 2 = 10 $

So, $ \square = 10 $

✔ Answer: 10

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10. $ \frac{1}{\square} = \frac{2}{16} $

Simplify $ \frac{2}{16} $:
$ \frac{2}{16} = \frac{1}{8} $

So, $ \frac{1}{\square} = \frac{1}{8} $ → $ \square = 8 $

✔ Answer: 8

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✔ Final Answers:

1. 1
2. 3
3. 6
4. 5
5. 2
6. 3
7. 6
8. 18
9. 10
10. 8

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🔍 Explanation Summary:

To find equivalent fractions, you either:
- Simplify both sides to lowest terms,
- Or scale up/down by multiplying/dividing numerator and denominator by the same number.

This ensures the value of the fraction stays the same.

Let me know if you'd like a visual explanation or a printable version!