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Math worksheet for converting fractions to decimals and percentages.

A math worksheet titled "Fractions to Decimals & Percents Sheet 1" showing a conversion process from fraction to decimal to percent with a table of fractions to convert.

A math worksheet titled "Fractions to Decimals & Percents Sheet 1" showing a conversion process from fraction to decimal to percent with a table of fractions to convert.

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Show Answer Key & Explanations Step-by-step solution for: Fractions Decimals Percents Worksheets
Explanation:
We need to convert each fraction into a decimal and then into a percent. Here’s how:

1. Fraction → Decimal: Divide the numerator (top number) by the denominator (bottom number).
2. Decimal → Percent: Multiply the decimal by 100 (or move the decimal point two places to the right), and add a % sign.

Let’s go one by one:

1. $ \frac{1}{2} = 1 ÷ 2 = 0.5 $ → $ 0.5 × 100 = 50\% $

2. $ \frac{3}{4} = 3 ÷ 4 = 0.75 $ → $ 0.75 × 100 = 75\% $

3. $ \frac{2}{5} = 2 ÷ 5 = 0.4 $ → $ 0.4 × 100 = 40\% $

4. $ \frac{1}{8} = 1 ÷ 8 = 0.125 $ → $ 0.125 × 100 = 12.5\% $

5. $ \frac{7}{8} = 7 ÷ 8 = 0.875 $ → $ 0.875 × 100 = 87.5\% $

6. $ \frac{1}{4} = 1 ÷ 4 = 0.25 $ → $ 0.25 × 100 = 25\% $

7. $ \frac{7}{10} = 7 ÷ 10 = 0.7 $ → $ 0.7 × 100 = 70\% $

8. $ \frac{3}{10} = 3 ÷ 10 = 0.3 $ → $ 0.3 × 100 = 30\% $

9. $ \frac{1}{3} = 1 ÷ 3 ≈ 0.333... $ → $ 0.333... × 100 ≈ 33.\overline{3}\% $ (or 33.33% if rounding to two decimals)

10. $ \frac{5}{6} = 5 ÷ 6 ≈ 0.8333... $ → $ 0.8333... × 100 ≈ 83.\overline{3}\% $ (or 83.33%)

11. $ \frac{2}{9} = 2 ÷ 9 ≈ 0.2222... $ → $ 0.2222... × 100 ≈ 22.\overline{2}\% $ (or 22.22%)

12. $ \frac{5}{4} = 5 ÷ 4 = 1.25 $ → $ 1.25 × 100 = 125\% $

13. $ \frac{3}{16} = 3 ÷ 16 = 0.1875 $ → $ 0.1875 × 100 = 18.75\% $

14. $ \frac{8}{5} = 8 ÷ 5 = 1.6 $ → $ 1.6 × 100 = 160\% $

15. $ \frac{7}{50} = 7 ÷ 50 = 0.14 $ → $ 0.14 × 100 = 14\% $

Let me double-check a few tricky ones:
- $ \frac{1}{3} $: Yes, 1 ÷ 3 = 0.333..., so 33.33% (or exact repeating 33.\overline{3}%).
- $ \frac{5}{6} $: 5 ÷ 6 = 0.8333..., so 83.33%.
- $ \frac{2}{9} $: 2 ÷ 9 = 0.222..., so 22.22%.
- $ \frac{3}{16} $: 3 ÷ 16 = 0.1875 — correct.
- $ \frac{7}{50} $: 7 ÷ 50 = 0.14 — correct.

All values are consistent.

Final Answer:
| FRACTION | DECIMAL | PERCENT |
|----------|---------------|----------------|
| 1/2 | 0.5 | 50% |
| 3/4 | 0.75 | 75% |
| 2/5 | 0.4 | 40% |
| 1/8 | 0.125 | 12.5% |
| 7/8 | 0.875 | 87.5% |
| 1/4 | 0.25 | 25% |
| 7/10 | 0.7 | 70% |
| 3/10 | 0.3 | 30% |
| 1/3 | 0.333... | 33.\overline{3}% or 33.33% |
| 5/6 | 0.833... | 83.\overline{3}% or 83.33% |
| 2/9 | 0.222... | 22.\overline{2}% or 22.22% |
| 5/4 | 1.25 | 125% |
| 3/16 | 0.1875 | 18.75% |
| 8/5 | 1.6 | 160% |
| 7/50 | 0.14 | 14% |
Parent Tip: Review the logic above to help your child master the concept of fraction decimal percent conversion worksheet.
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