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Numerical Ability

Fractions to percentages

Instant conversion between common fractions and percentages.

✍️ Practise
🍕Fraction model
  • 1/2 = 50%
  • 1/3 = 33⅓%
  • 1/4 = 25%
  • 1/5 = 20%
  • 1/6 = 16⅔%
  • 1/8 = 12.5%
  • 1/10 = 10%
  • 1/12 = 8⅓%
  • 1/16 = 6.25%
  • 1/20 = 5%

📌 Remember for the exam

  • Multiples work too: 3/8 = 3 × 12.5% = 37.5%

🎯 Learning objective: Represent fractions and convert them to decimals and percentages.

📐 Diagram: Fraction model
34← Numerator← Denominator3 ÷ 4 = 0.75 = 75%

💬 Questions and answers

1What am I looking at?

Answer: A circle divided into equal parts with some parts lifted out.

2What are its parts? (click a part to identify it)

Answer: Numerator (parts taken) and denominator (equal parts in the whole).

3How does it work?

Answer: The denominator splits the whole into equal parts; the numerator counts how many are taken.

4Why is it important?

Answer: Fractions are used in sharing, measuring, recipes, discounts and percentages.

5What happens if I change something? (use the sliders)

Answer: Change the numerator and denominator and read the decimal and percentage.

6What should I remember for the exam?

Answer: Fraction → percentage: divide and multiply by 100. 1/4 = 25%, 3/4 = 75%, 1/8 = 12.5%.