Speed calculation · lesson 20 of 25 · free

Percent, fraction, decimal swaps — Speed Calculation

Half, 50% and 0.5 are three ways to write the same amount. Speed solvers know the key families by heart — halves, quarters, fifths, eighths, tenths and twentieths — and swap between them in a second. Percent to decimal is ÷ 100; decimal to percent is × 100.

The fast method

Three names, one amount — “a fraction, a decimal and a percent can all mean the same part”

  1. Learn the key ones: 1/2 = 50% = 0.5, 1/4 = 25% = 0.25, 1/5 = 20% = 0.2.
  2. And: 1/8 = 12.5% = 0.125, 1/10 = 10% = 0.1, 1/20 = 5% = 0.05.
  3. Percent → decimal: ÷ 100 (point 2 places left). Decimal → percent: × 100.
  4. Fraction → percent: use the unit fraction — 3/8 = 3 × 12.5% = 37.5%.

Use it for: Discounts written as fractions, marks out of 8 or 20, pie charts, and percentages in Class 7–10.

Worked example: 3/8 as a percent = 37.5

  1. 1/8 = 12.5% (half of 25%).
  2. 3/8 = 3 × 12.5% = 37.5%.

Check: 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5 ✓

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🏁 Lesson 20 test

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🖨️ Percentage to Fraction and Decimal Worksheet

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