Converting fractions and decimals worksheet for math practice.

Let’s solve each part step by step. We’re converting between fractions and decimals — that means turning fractions like 1/2 into decimals like 0.5, or turning decimals like 0.75 into fractions like 3/4.

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Part 1: Write these fractions as decimals

We divide the top number (numerator) by the bottom number (denominator).

- 1/2 → 1 ÷ 2 = 0.5
- 1/4 → 1 ÷ 4 = 0.25
- 3/4 → 3 ÷ 4 = 0.75
- 1/5 → 1 ÷ 5 = 0.2
- 2/5 → 2 ÷ 5 = 0.4
- 4/5 → 4 ÷ 5 = 0.8

✔ All done for Part 1.

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Part 2: Write these decimals as fractions

We write the decimal as a fraction over 10, 100, etc., then simplify if needed.

- 0.1 → 1/10 → already simplified → 1/10
- 0.3 → 3/10 → already simplified → 3/10
- 0.6 → 6/10 → simplify by dividing numerator and denominator by 2 → 3/5
- 0.2 → 2/10 → simplify → 1/5
- 0.4 → 4/10 → simplify → 2/5
- 0.8 → 8/10 → simplify → 4/5

✔ All done for Part 2.

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Part 3: Change from fractions to decimals

Same as Part 1 — divide numerator by denominator.

- 1/8 → 1 ÷ 8 = 0.125
- 3/8 → 3 ÷ 8 = 0.375
- 5/8 → 5 ÷ 8 = 0.625
- 7/8 → 7 ÷ 8 = 0.875
- 1/10 → 1 ÷ 10 = 0.1
- 3/10 → 3 ÷ 10 = 0.3

✔ All done for Part 3.

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Part 4: Change from decimals to fractions

Write as fraction over 10 or 100, then simplify.

- 0.25 → 25/100 → divide numerator and denominator by 25 → 1/4
- 0.50 → 50/100 → divide by 50 → 1/2
- 0.75 → 75/100 → divide by 25 → 3/4
- 0.10 → 10/100 → divide by 10 → 1/10
- 0.20 → 20/100 → divide by 20 → 1/5
- 0.40 → 40/100 → divide by 20 → 2/5

Wait — let me double-check 0.40:

0.40 = 40/100 → divide numerator and denominator by 20 → 2/5 ✔
Also, 0.40 is same as 0.4 → which we did earlier as 2/5 — correct.

But note: sometimes they might want it in simplest form with smallest numbers — so yes, 2/5 is right.

Actually, looking again at the worksheet layout — some boxes may expect different forms? But no — standard is simplest form.

Wait — let me check one more time for accuracy:

- 0.25 → 25/100 = 1/4 ✔
- 0.50 → 50/100 = 1/2 ✔
- 0.75 → 75/100 = 3/4 ✔
- 0.10 → 10/100 = 1/10 ✔
- 0.20 → 20/100 = 1/5 ✔
- 0.40 → 40/100 = 2/5 ✔

All good.

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Final Answer:

Part 1: Fractions to Decimals
- 1/2 = 0.5
- 1/4 = 0.25
- 3/4 = 0.75
- 1/5 = 0.2
- 2/5 = 0.4
- 4/5 = 0.8

Part 2: Decimals to Fractions
- 0.1 = 1/10
- 0.3 = 3/10
- 0.6 = 3/5
- 0.2 = 1/5
- 0.4 = 2/5
- 0.8 = 4/5

Part 3: Fractions to Decimals
- 1/8 = 0.125
- 3/8 = 0.375
- 5/8 = 0.625
- 7/8 = 0.875
- 1/10 = 0.1
- 3/10 = 0.3

Part 4: Decimals to Fractions
- 0.25 = 1/4
- 0.50 = 1/2
- 0.75 = 3/4
- 0.10 = 1/10
- 0.20 = 1/5
- 0.40 = 2/5