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Year 7 · Maths · Fractions, decimals and percentages · Lesson 2

Converting to and from percentages

Convert between fractions, decimals and percentages, learn common equivalents, and compare amounts written in different forms.

Whiteboard video lesson: Converting to and from percentages

20-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Convert decimals to percentages
  • Convert percentages to decimals
  • Convert fractions to percentages
  • Convert percentages to fractions
  • Compare amounts in different forms

The method

  1. Decimal to percentage: × 100.
  2. Percentage to decimal: ÷ 100.
  3. Fraction to percentage: make it out of 100, or × 100.
  4. Percentage to fraction: write over 100, then simplify.

Key words: percentage, fraction, decimal, equivalent, per cent.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Write 0.52 as a percentage.

  1. Step 1: 0.52 × 100 = 52

Answer: 52%

Question 2

Write 0.9 as a percentage.

  1. Step 1: 0.9 × 100 = 90

Answer: 90%

Question 3

Write 0.05 as a percentage.

  1. Step 1: 0.05 × 100 = 5

Answer: 5%