Converting fractions, decimals, and percents worksheet with a table for practice.

Let’s go row by row and fill in the missing parts. We’ll convert between fractions, decimals, and percents using simple rules:

- To turn a decimal into a percent, multiply by 100 (move decimal point two places right).
- To turn a percent into a decimal, divide by 100 (move decimal point two places left).
- To turn a fraction into a decimal, divide numerator by denominator.
- To turn a decimal into a fraction, write it over 10, 100, etc., then simplify.
- To turn a fraction into a percent, first make it a decimal, then multiply by 100.

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Row 1: Decimal = 0.5

→ Percent: 0.5 × 100 = 50%

→ Fraction: 0.5 = 5/10 = 1/2

✔ So: Fraction = 1/2, Percent = 50%

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Row 2: Percent = 6%

→ Decimal: 6 ÷ 100 = 0.06

→ Fraction: 6% = 6/100 = 3/50 (simplified)

✔ So: Fraction = 3/50, Decimal = 0.06

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Row 3: Fraction = 8/100

→ Decimal: 8 ÷ 100 = 0.08

→ Percent: 0.08 × 100 = 8%

✔ So: Decimal = 0.08, Percent = 8%

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Row 4: Percent = 16%

→ Decimal: 16 ÷ 100 = 0.16

→ Fraction: 16/100 = 4/25 (divide top and bottom by 4)

✔ So: Fraction = 4/25, Decimal = 0.16

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Row 5: Decimal = 0.61

→ Percent: 0.61 × 100 = 61%

→ Fraction: 0.61 = 61/100 → already simplified

✔ So: Fraction = 61/100, Percent = 61%

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Row 6: Fraction = 71/100

→ Decimal: 71 ÷ 100 = 0.71

→ Percent: 0.71 × 100 = 71%

✔ So: Decimal = 0.71, Percent = 71%

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Row 7: Decimal = 3.68

→ Percent: 3.68 × 100 = 368%

→ Fraction: 3.68 = 368/100 = simplify → divide numerator and denominator by 4 → 92/25
(Or leave as mixed number: 3 and 17/25 — but since table says “fractions”, we can use improper fraction or simplified form. Let’s use 92/25.)

Wait — let’s check: 3.68 = 368/100 → divide by 4 → 92/25. Yes.

But maybe they expect simplest form? 92 and 25 have no common factors → yes.

✔ So: Fraction = 92/25, Percent = 368%

*(Note: Some might prefer 3 17/25, but since other rows use improper fractions like 71/100, 92/25 is fine.)*

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Row 8: Fraction = 2/5

→ Decimal: 2 ÷ 5 = 0.4

→ Percent: 0.4 × 100 = 40%

✔ So: Decimal = 0.4, Percent = 40%

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Row 9: Percent = 976%

→ Decimal: 976 ÷ 100 = 9.76

→ Fraction: 976/100 → simplify: divide numerator and denominator by 4 → 244/25

Check: 244 ÷ 25 = 9.76 → correct.

✔ So: Fraction = 244/25, Decimal = 9.76

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Row 10: Fraction = 5/10

→ Simplify first: 5/10 = 1/2

→ Decimal: 1 ÷ 2 = 0.5

→ Percent: 0.5 × 100 = 50%

✔ So: Decimal = 0.5, Percent = 50%

*(Note: This is same as Row 1 — that’s okay!)*

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Now let’s compile all answers in order for each row:

Row 1: Fraction = 1/2, Percent = 50%
Row 2: Fraction = 3/50, Decimal = 0.06
Row 3: Decimal = 0.08, Percent = 8%
Row 4: Fraction = 4/25, Decimal = 0.16
Row 5: Fraction = 61/100, Percent = 61%
Row 6: Decimal = 0.71, Percent = 71%
Row 7: Fraction = 92/25, Percent = 368%
Row 8: Decimal = 0.4, Percent = 40%
Row 9: Fraction = 244/25, Decimal = 9.76
Row 10: Decimal = 0.5, Percent = 50%

Double-checking calculations:

- Row 7: 3.68 → 368% ✔️; 368/100 = 92/25 ✔️
- Row 9: 976% → 9.76 ✔️; 976/100 = 244/25 ✔️
- Row 10: 5/10 = 0.5 = 50% ✔️

All good!

Final Answer:
1. Fraction: 1/2, Percent: 50%
2. Fraction: 3/50, Decimal: 0.06
3. Decimal: 0.08, Percent: 8%
4. Fraction: 4/25, Decimal: 0.16
5. Fraction: 61/100, Percent: 61%
6. Decimal: 0.71, Percent: 71%
7. Fraction: 92/25, Percent: 368%
8. Decimal: 0.4, Percent: 40%
9. Fraction: 244/25, Decimal: 9.76
10. Decimal: 0.5, Percent: 50%