Converting Fractions to Percent Worksheet
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Converting Fractions to Percent Worksheet
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Worked Example
Problem: Convert 7/20 to a percent.
- Notice that 20 is a factor of 100: 100 ÷ 20 = 5— When the denominator divides evenly into 100, you can scale up without long division.
- Multiply numerator and denominator by 5: (7 × 5) / (20 × 5) = 35/100— Scaling both parts by the same factor keeps the fraction equivalent.
- 35/100 = 35%— A fraction with denominator 100 is the definition of a percent.
Answer: 7/20 = 35%
Frequently Asked Questions
Divide the numerator by the denominator to get a decimal, then multiply by 100. For example, 3/4 → 3 ÷ 4 = 0.75 → 0.75 × 100 = 75%.
Yes. If the denominator divides evenly into 100, scale up: 3/20 → multiply top and bottom by 5 → 15/100 = 15%. This avoids long division.
Convert the mixed number to an improper fraction first, then divide and multiply by 100. For example, 1 1/2 = 3/2 → 1.5 → 150%.
1/4 = 25%, 1/2 = 50%, 3/4 = 75%, 1/3 ≈ 33.3%, 2/3 ≈ 66.7%, 1/5 = 20%, 1/10 = 10%. Knowing these speeds up estimation and checking answers.
Yes, whenever the numerator is greater than the denominator (an improper fraction). For example, 5/4 = 125%.