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Year 7 · Maths · Fractions, decimals and percentages · Lesson 1

Fractions and decimals

Convert between fractions and decimals using equivalent fractions and division, simplify, and compare fractions with decimals.

Whiteboard video lesson: Fractions and decimals

22-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 tenths, hundredths and thousandths
  • Convert fractions to decimals
  • Convert decimals to fractions
  • Simplify fractions
  • Compare fractions and decimals

The method

  1. Fraction to decimal: make the denominator 10, 100 or 1000.
  2. Or divide the numerator by the denominator.
  3. Decimal to fraction: write over 10, 100 or 1000.
  4. Always simplify the fraction.

Key words: fraction, decimal, tenth, hundredth, simplify.

Worked examples

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

Question 1

Write 9/10 as a decimal.

  1. Step 1: 9/10 = 90/100
  2. Step 2: 90/100 = 0.9

Answer: 0.9

Question 2

Write 23/100 as a decimal.

  1. Step 1: 23/100 = 23/100
  2. Step 2: 23/100 = 0.23

Answer: 0.23

Question 3

Write 1/2 as a decimal.

  1. Step 1: 1/2 = 50/100
  2. Step 2: 50/100 = 0.5

Answer: 0.5