How to Convert Fractions to Percentages
Converting a fraction to a percentage is a two-step process. A percentage is simply a fraction with a denominator of 100.
Method A — Long Division
We want to calculate .
- Divide 3 by 4. Since 4 does not fit into 3, write and add a zero → 30.
- Now divide 30 by 4. It fits 7 times because 7 × 4 = 28. Remainder = 2.
- Bring down another 0 → 20. Divide 20 by 4. It fits 5 times because 5 × 4 = 20. Remainder = 0 → stop.
- Multiply the result by 100: 0.75 × 100 = 75.
Final result: 75%.
Method B — Equivalent Fraction with Denominator 100
We want to calculate .
- Divide 100 by the denominator: 100 ÷ 4 = 25.
- Multiply the numerator by the result: 3 × 25 = 75.
Result: = 75%.
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