Grade 4 Maths Resources (2.2 Equivalent Fractions Printable ... - Free Printable

Let’s solve this step by step.

We are asked to write 3 equivalent fractions for each given fraction.

What does “equivalent” mean?
It means the fraction looks different but has the same value.
To make an equivalent fraction, we multiply (or divide) both the top number (numerator) and the bottom number (denominator) by the same number.

For example:
If we have 1/4, we can multiply top and bottom by 2 → 2/8
Multiply by 3 → 3/12
Multiply by 4 → 4/16
All of these are equal to 1/4.

Let’s do each one carefully.

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1. 1/4

Multiply numerator and denominator by 2:
→ 1×2 / 4×2 = 2/8

Multiply by 3:
→ 1×3 / 4×3 = 3/12

Multiply by 4:
→ 1×4 / 4×4 = 4/16

✔ Equivalent fractions: 2/8, 3/12, 4/16

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2. 2/3

Multiply by 2:
→ 2×2 / 3×2 = 4/6

Multiply by 3:
→ 2×3 / 3×3 = 6/9

Multiply by 4:
→ 2×4 / 3×4 = 8/12

✔ Equivalent fractions: 4/6, 6/9, 8/12

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3. 3/4

Multiply by 2:
→ 3×2 / 4×2 = 6/8

Multiply by 3:
→ 3×3 / 4×3 = 9/12

Multiply by 4:
→ 3×4 / 4×4 = 12/16

✔ Equivalent fractions: 6/8, 9/12, 12/16

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4. 1/5

Multiply by 2:
→ 1×2 / 5×2 = 2/10

Multiply by 3:
→ 1×3 / 5×3 = 3/15

Multiply by 4:
→ 1×4 / 5×4 = 4/20

✔ Equivalent fractions: 2/10, 3/15, 4/20

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5. 2/7

Multiply by 2:
→ 2×2 / 7×2 = 4/14

Multiply by 3:
→ 2×3 / 7×3 = 6/21

Multiply by 4:
→ 2×4 / 7×4 = 8/28

✔ Equivalent fractions: 4/14, 6/21, 8/28

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6. 1/6

Multiply by 2:
→ 1×2 / 6×2 = 2/12

Multiply by 3:
→ 1×3 / 6×3 = 3/18

Multiply by 4:
→ 1×4 / 6×4 = 4/24

✔ Equivalent fractions: 2/12, 3/18, 4/24

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7. 2/5

Multiply by 2:
→ 2×2 / 5×2 = 4/10

Multiply by 3:
→ 2×3 / 5×3 = 6/15

Multiply by 4:
→ 2×4 / 5×4 = 8/20

✔ Equivalent fractions: 4/10, 6/15, 8/20

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8. 4/7

Multiply by 2:
→ 4×2 / 7×2 = 8/14

Multiply by 3:
→ 4×3 / 7×3 = 12/21

Multiply by 4:
→ 4×4 / 7×4 = 16/28

✔ Equivalent fractions: 8/14, 12/21, 16/28

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Final Answer:

1. 2/8, 3/12, 4/16
2. 4/6, 6/9, 8/12
3. 6/8, 9/12, 12/16
4. 2/10, 3/15, 4/20
5. 4/14, 6/21, 8/28
6. 2/12, 3/18, 4/24
7. 4/10, 6/15, 8/20
8. 8/14, 12/21, 16/28