Equivalent Fractions worksheet for Grade 3 math, showing visual representations of fraction equivalency using colored pie charts.

Let’s solve each problem step by step. We’re looking for equivalent fractions — that means two fractions that represent the same amount, even if they look different.

We’ll count how many parts are shaded and how many total parts there are in each circle. Then we write the fraction (shaded / total) and simplify or find the matching one.

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Problem 1:

Left circle: Divided into 5 equal parts, 2 shaded → 2/5

Right circle: Divided into 15 equal parts, 6 shaded → 6/15

Check: Is 2/5 = 6/15?
Multiply numerator and denominator of 2/5 by 3 → 6/15 ✔

So:
2/5 = 6/15

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Problem 2:

Left circle: Divided into 4 parts, 2 shaded → 2/4

Right circle: Divided into 16 parts, 8 shaded → 8/16

Simplify both:
2/4 = 1/2
8/16 = 1/2 ✔

So:
2/4 = 8/16

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Problem 3:

Left circle: Divided into 8 parts, 4 shaded → 4/8

Right circle: Divided into 16 parts, 8 shaded → 8/16

Both simplify to 1/2 ✔

So:
4/8 = 8/16

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Problem 4:

Left circle: Divided into 6 parts, 2 shaded → 2/6

Right circle: Divided into 12 parts, 4 shaded → 4/12

Simplify:
2/6 = 1/3
4/12 = 1/3 ✔

So:
2/6 = 4/12

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Problem 5:

Left circle: Divided into 5 parts, 3 shaded → 3/5

Right circle: Divided into 15 parts, 9 shaded → 9/15

Multiply 3/5 by 3 → 9/15 ✔

So:
3/5 = 9/15

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Problem 6:

Left circle: Divided into 2 parts, 1 shaded → 1/2

Right circle: Divided into 6 parts, 3 shaded → 3/6

3/6 simplifies to 1/2 ✔

So:
1/2 = 3/6

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Problem 7:

Left circle: Divided into 3 parts, 2 shaded → 2/3

Right circle: Divided into 18 parts, 12 shaded → 12/18

Simplify 12/18: divide top and bottom by 6 → 2/3 ✔

So:
2/3 = 12/18

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Problem 8:

Left circle: Divided into 6 parts, 4 shaded → 4/6

Right circle: Divided into 12 parts, 8 shaded → 8/12

Simplify both:
4/6 = 2/3
8/12 = 2/3 ✔

So:
4/6 = 8/12

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Final Answer:

1. 2/5 = 6/15
2. 2/4 = 8/16
3. 4/8 = 8/16
4. 2/6 = 4/12
5. 3/5 = 9/15
6. 1/2 = 3/6
7. 2/3 = 12/18
8. 4/6 = 8/12