Small-Step Worksheets | The Kumon Method and Its Strengths - About ... - Free Printable

Let’s solve this step by step.

We are given a worksheet with math problems. The visible problem says:

> “Complete each of these pairs.”

And we see several fraction pairs like:

- 1/2 = ? / 4
- 3/5 = ? / 10
- 2/3 = ? / 6
- 4/7 = ? / 14
- 5/8 = ? / 16
- 3/4 = ? / 8
- 1/3 = ? / 9
- 2/5 = ? / 10
- 3/7 = ? / 14
- 4/9 = ? / 18

This is about finding equivalent fractions — that means making the same value but with different numbers on top and bottom.

To do this, we look at how the denominator (bottom number) changed, then multiply the numerator (top number) by the same amount.

Let’s go one by one:

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1. 1/2 = ? / 4

Denominator went from 2 → 4. That’s ×2.

So numerator: 1 × 2 = 2

→ 1/2 = 2/4

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2. 3/5 = ? / 10

5 → 10 is ×2

3 × 2 = 6

→ 3/5 = 6/10

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3. 2/3 = ? / 6

3 → 6 is ×2

2 × 2 = 4

→ 2/3 = 4/6

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4. 4/7 = ? / 14

7 → 14 is ×2

4 × 2 = 8

→ 4/7 = 8/14

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5. 5/8 = ? / 16

8 → 16 is ×2

5 × 2 = 10

→ 5/8 = 10/16

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6. 3/4 = ? / 8

4 → 8 is ×2

3 × 2 = 6

→ 3/4 = 6/8

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7. 1/3 = ? / 9

3 → 9 is ×3

1 × 3 = 3

→ 1/3 = 3/9

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8. 2/5 = ? / 10

5 → 10 is ×2

2 × 2 = 4

→ 2/5 = 4/10

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9. 3/7 = ? / 14

7 → 14 is ×2

3 × 2 = 6

→ 3/7 = 6/14

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10. 4/9 = ? / 18

9 → 18 is ×2

4 × 2 = 8

→ 4/9 = 8/18

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All answers check out. We multiplied numerator and denominator by the same number to keep the fraction equal.

Final Answer:
2/4, 6/10, 4/6, 8/14, 10/16, 6/8, 3/9, 4/10, 6/14, 8/18