Equivalent Fractions: Denominators of 10 and 100 | Worksheet ... - Free Printable

Sure! Let’s solve each problem step by step. The goal is to find the missing numerator so that the two fractions are equivalent — meaning they represent the same value.

We’ll use the idea that to make fractions equivalent, we multiply or divide both numerator and denominator by the same number.

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Problem 1:

$\frac{1}{10} = \frac{?}{100}$

To get from denominator 10 to 100, multiply by 10 → so multiply numerator by 10 too:

→ $1 \times 10 = 10$

✔ Answer: 10

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Problem 2:

$\frac{3}{10} = \frac{?}{100}$

Same logic: multiply numerator and denominator by 10.

→ $3 \times 10 = 30$

✔ Answer: 30

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Problem 3:

$\frac{50}{100} = \frac{?}{10}$

Now we’re going from denominator 100 to 10 → divide by 10.

So divide numerator by 10 too:

→ $50 ÷ 10 = 5$

✔ Answer: 5

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Problem 4:

$\frac{6}{10} = \frac{?}{100}$

Multiply numerator and denominator by 10:

→ $6 \times 10 = 60$

✔ Answer: 60

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Problem 5:

$\frac{70}{100} = \frac{?}{10}$

Divide numerator and denominator by 10:

→ $70 ÷ 10 = 7$

✔ Answer: 7

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Problem 6:

$\frac{40}{100} = \frac{?}{10}$

Divide numerator by 10:

→ $40 ÷ 10 = 4$

✔ Answer: 4

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Problem 7:

$\frac{80}{100} = \frac{?}{10}$

Divide numerator by 10:

→ $80 ÷ 10 = 8$

✔ Answer: 8

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Problem 8:

$\frac{9}{10} = \frac{?}{100}$

Multiply numerator by 10:

→ $9 \times 10 = 90$

✔ Answer: 90

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Problem 9:

$\frac{2}{10} = \frac{?}{100}$

Multiply numerator by 10:

→ $2 \times 10 = 20$

✔ Answer: 20

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Problem 10:

$\frac{100}{100} = \frac{?}{10}$

This is a whole (1), so we want to express 1 as a fraction with denominator 10.

→ $\frac{100}{100} = 1 = \frac{10}{10}$

✔ Answer: 10

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## ✔ Final Answers:

1. 10
2. 30
3. 5
4. 60
5. 7
6. 4
7. 8
8. 90
9. 20
10. 10

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## 💡 Quick Tip:
When converting between denominators 10 and 100:
- Multiply by 10 when going from 10 → 100
- Divide by 10 when going from 100 → 10

This works because 100 = 10 × 10, so it’s just scaling up or down by a factor of 10.

Let me know if you’d like to visualize this with diagrams or practice more! 😊