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Year 6 · Maths · Percentages · Lesson 1

Percentages, fractions and decimals

Understand per cent as 'out of 100' and convert between percentages, fractions and decimals, then compare and order them.

Whiteboard video lesson: Percentages, fractions and decimals

16-minute video lesson

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

Watch free for a month

What your child will learn

  • Understand per cent
  • Convert fractions to percentages
  • Convert decimals and percentages
  • Order fractions, decimals and percentages

The method

  1. Fraction: denominator 100.
  2. Decimal: × 100.
  3. Percentage: ÷ 100, or over 100.
  4. Simplify.

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

Worked examples

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

Question 1

Write 1/2 as a percentage.

  1. Step 1: 1/2 = 50/100
  2. Step 2: = 50%

Answer: 50%

Question 2

Write 1/4 as a percentage.

  1. Step 1: 1/4 = 25/100
  2. Step 2: = 25%

Answer: 25%

Question 3

Write 3/10 as a percentage.

  1. Step 1: 3/10 = 30/100
  2. Step 2: = 30%

Answer: 30%