Fractions Worksheets with Answer Key - Free Printable

Let's solve each problem step by step. The goal is to shade the second shape in each pair to represent an equivalent fraction to the given one, and then write the equivalent fraction.

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🔷 Example (already done):

- First circle: 1/2 shaded
- Second circle: 2/4 shaded → because 1/2 = 2/4

✔ This shows that 1/2 = 2/4

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🔹 Problem 1:

Given:
$$
\frac{3}{5} = ?
$$

We have:
- A rectangle divided into 5 equal parts, with 3 shaded.
- A second rectangle divided into 10 equal parts (vertical lines), so we need to find an equivalent fraction with denominator 10.

To get from 5 to 10, multiply by 2. So:
$$
\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10}
$$

👉 Shade 6 out of 10 parts in the second rectangle.

✔ Answer:
$$
\frac{3}{5} = \frac{6}{10}
$$

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🔹 Problem 2:

Given:
$$
\frac{1}{3} = ?
$$

First rectangle: 3 parts, 1 shaded.

Second rectangle: divided into 9 equal parts (3 columns × 3 rows).

To get from 3 to 9, multiply by 3:
$$
\frac{1}{3} = \frac{1 \times 3}{3 \times 3} = \frac{3}{9}
$$

👉 Shade 3 out of 9 parts in the second rectangle.

✔ Answer:
$$
\frac{1}{3} = \frac{3}{9}
$$

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🔹 Problem 3:

Given:
$$
\frac{1}{2} = ?
$$

First circle: half shaded.

Second circle: divided into 6 equal parts (sixths).

So convert 1/2 to sixths:
$$
\frac{1}{2} = \frac{3}{6}
$$

Because $ \frac{1}{2} = \frac{3}{6} $

👉 Shade 3 out of 6 sections in the second circle.

✔ Answer:
$$
\frac{1}{2} = \frac{3}{6}
$$

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🔹 Problem 4:

Given:
$$
\frac{4}{12} = ?
$$

First rectangle: 12 horizontal strips, 4 shaded.

Second rectangle: divided into 6 equal parts (horizontal strips).

Simplify $ \frac{4}{12} $:
$$
\frac{4}{12} = \frac{1}{3}
$$

Now, convert $ \frac{1}{3} $ to a fraction with denominator 6:
$$
\frac{1}{3} = \frac{2}{6}
$$

Alternatively:
$ \frac{4}{12} = \frac{2}{6} $ — divide numerator and denominator by 2.

👉 Shade 2 out of 6 parts in the second rectangle.

✔ Answer:
$$
\frac{4}{12} = \frac{2}{6}
$$

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🔹 Problem 5:

Given:
$$
\frac{2}{8} = ?
$$

First circle: 8 equal parts, 2 shaded.

Second circle: divided into 4 equal parts (quarters).

Simplify $ \frac{2}{8} $:
$$
\frac{2}{8} = \frac{1}{4}
$$

So, $ \frac{2}{8} = \frac{1}{4} $

👉 Shade 1 out of 4 parts in the second circle.

✔ Answer:
$$
\frac{2}{8} = \frac{1}{4}
$$

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✔ Final Answers:

| Problem | Equivalent Fraction |
|--------|---------------------|
| 1 | $ \frac{3}{5} = \frac{6}{10} $ |
| 2 | $ \frac{1}{3} = \frac{3}{9} $ |
| 3 | $ \frac{1}{2} = \frac{3}{6} $ |
| 4 | $ \frac{4}{12} = \frac{2}{6} $ |
| 5 | $ \frac{2}{8} = \frac{1}{4} $ |

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🖼️ How to Shade:

- Problem 1: Shade 6 of the 10 vertical bars.
- Problem 2: Shade 3 of the 9 small rectangles.
- Problem 3: Shade 3 of the 6 pie slices.
- Problem 4: Shade 2 of the 6 horizontal strips.
- Problem 5: Shade 1 of the 4 quadrants.

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