Converting Decimals to Fractions Worksheet - Free Printable

Let’s solve each problem step by step.

We are converting decimals to fractions, then simplifying them.

Remember:
- The decimal tells us how many tenths, hundredths, etc.
- For example: 0.3 = 3/10 (because it’s 3 tenths)
- 0.25 = 25/100 → simplify to 1/4
- To simplify, divide numerator and denominator by the same number until you can’t anymore.

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2) 0.3

→ Decimal fraction: 3/10
→ Can we simplify? 3 and 10 have no common factors except 1 → already simplest form.
✔ Answer: 3/10

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3) 0.75

→ Decimal fraction: 75/100
→ Simplify: Both divisible by 25 → 75 ÷ 25 = 3, 100 ÷ 25 = 4 → 3/4
✔ Answer: 3/4

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4) 0.2

→ Decimal fraction: 2/10
→ Simplify: Divide top and bottom by 2 → 1/5
✔ Answer: 1/5

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5) 0.35

→ Decimal fraction: 35/100
→ Simplify: Both divisible by 5 → 35 ÷ 5 = 7, 100 ÷ 5 = 20 → 7/20
✔ Answer: 7/20

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6) 0.6

→ Decimal fraction: 6/10
→ Simplify: Divide by 2 → 3/5
✔ Answer: 3/5

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7) 0.78

→ Decimal fraction: 78/100
→ Simplify: Both divisible by 2 → 39/50
Check: 39 and 50 — no common factors → done.
✔ Answer: 39/50

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8) 0.38

→ Decimal fraction: 38/100
→ Simplify: Divide by 2 → 19/50
19 is prime, doesn’t go into 50 → done.
✔ Answer: 19/50

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9) 0.43

→ Decimal fraction: 43/100
→ 43 is a prime number → can’t simplify with 100
✔ Answer: 43/100

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10) 0.92

→ Decimal fraction: 92/100
→ Simplify: Divide by 4 → 92 ÷ 4 = 23, 100 ÷ 4 = 25 → 23/25
✔ Answer: 23/25

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11) 0.76

→ Decimal fraction: 76/100
→ Simplify: Divide by 4 → 76 ÷ 4 = 19, 100 ÷ 4 = 25 → 19/25
✔ Answer: 19/25

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12) 0.25

→ Decimal fraction: 25/100
→ Simplify: Divide by 25 → 1/4
✔ Answer: 1/4

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13) 0.39

→ Decimal fraction: 39/100
→ 39 = 3 × 13; 100 = 2² × 5² → no common factors
✔ Answer: 39/100

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14) 0.42

→ Decimal fraction: 42/100
→ Simplify: Divide by 2 → 21/50
21 and 50 → no common factors
✔ Answer: 21/50

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Final Answer:

2) 3/10
3) 3/4
4) 1/5
5) 7/20
6) 3/5
7) 39/50
8) 19/50
9) 43/100
10) 23/25
11) 19/25
12) 1/4
13) 39/100
14) 21/50