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Tricks · Dividing and percentages

Fractions as percentages

Turning common fractions into percentages, such as 3/8.

p/q = ?%

The trick, step by step

  1. Know the unit fraction: 1/8 = 100% ÷ 8 = 12.5%.

  2. Multiply by the top number: 3 × 12.5% = 37.5%.

given working answer taken away

Why it works

A fraction p/q of the whole is p/q of 100%, which is p × (100% ÷ q). Learn the unit fractions (1/2, 1/4, 1/5, 1/8, 1/10, 1/20, 1/25) and multiply.

Practise this trick