Equivalent Fractions Worksheet - Free Printable

Let’s go step by step to solve each problem using fraction strips. The idea is: if two fractions represent the same amount (like half of a whole), they are equivalent.

We’ll use the visual strips shown in problems 1–6 to help us fill in the blanks for problems 7–14.

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Problem 7:
$\frac{2}{2} = \frac{?}{4}$

Look at problem 1: $\frac{1}{2} = \frac{2}{4}$ → so $\frac{2}{2}$ would be double that → $\frac{4}{4}$
But wait — let’s think differently.
$\frac{2}{2}$ means “2 out of 2 parts” → that’s the whole thing.
What fraction with denominator 4 equals the whole? → $\frac{4}{4}$
✔ So, $\frac{2}{2} = \frac{4}{4}$

Wait — but the blank is over 4, and we’re comparing to $\frac{2}{2}$. Let’s check the strip.

Actually, looking at problem 1:
The top row has two halves → $\frac{1}{2}, \frac{1}{2}$ → together = 1
Bottom row has four quarters → $\frac{1}{4}, \frac{1}{4}, \frac{1}{4}, \frac{1}{4}$ → also = 1
So $\frac{2}{2} = \frac{4}{4}$ → yes.

But the question says: $\frac{2}{2} = \frac{?}{4}$ → so numerator must be 4.

✔ Answer: 4

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Problem 8:
$\frac{3}{4} = \frac{?}{8}$

Look at problem 4: $\frac{1}{4} = \frac{2}{8}$
So if 1 fourth = 2 eighths, then 3 fourths = 3 × 2 = 6 eighths
✔ So, $\frac{3}{4} = \frac{6}{8}$

Answer: 6

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Problem 9:
$\frac{2}{3} = \frac{?}{6}$

Look at problem 3: $\frac{1}{3} = \frac{2}{6}$
So 2 thirds = 2 × 2 = 4 sixths
✔ $\frac{2}{3} = \frac{4}{6}$

Answer: 4

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Problem 10:
$\frac{2}{5} = \frac{?}{10}$

Look at problem 5: $\frac{1}{5} = \frac{2}{10}$
So 2 fifths = 2 × 2 = 4 tenths
✔ $\frac{2}{5} = \frac{4}{10}$

Answer: 4

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Problem 11:
$\frac{3}{3} = \frac{?}{6}$

$\frac{3}{3}$ = 1 whole
From problem 3: $\frac{1}{3} = \frac{2}{6}$ → so 3 thirds = 3 × 2 = 6 sixths
✔ $\frac{3}{3} = \frac{6}{6}$

Answer: 6

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Problem 12:
$\frac{4}{6} = \frac{?}{12}$

Look at problem 6: $\frac{1}{6} = \frac{2}{12}$
So 4 sixths = 4 × 2 = 8 twelfths
✔ $\frac{4}{6} = \frac{8}{12}$

Answer: 8

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Problem 13:
$\frac{4}{5} = \frac{?}{10}$

From problem 5: $\frac{1}{5} = \frac{2}{10}$
So 4 fifths = 4 × 2 = 8 tenths
✔ $\frac{4}{5} = \frac{8}{10}$

Answer: 8

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Problem 14:
$\frac{5}{6} = \frac{?}{12}$

From problem 6: $\frac{1}{6} = \frac{2}{12}$
So 5 sixths = 5 × 2 = 10 twelfths
✔ $\frac{5}{6} = \frac{10}{12}$

Answer: 10

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Final Answer:
7) 4
8) 6
9) 4
10) 4
11) 6
12) 8
13) 8
14) 10