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Year 6 · Maths · SATs revision · Lesson 2

Arithmetic practice: fractions, decimals and percentages

SATs arithmetic practice with fractions (all four operations), decimals and percentages of amounts.

Whiteboard video lesson: Arithmetic practice: fractions, decimals and percentages

24-minute video lesson

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

Watch free for a month

What your child will learn

  • Add and subtract fractions and mixed numbers
  • Multiply fractions
  • Divide fractions by whole numbers
  • Multiply and divide decimals
  • Find percentages of amounts

The method

  1. Spot the type.
  2. Use the matching method.
  3. Simplify; check places.
  4. Estimate.

Key words: fraction, decimal, percentage, mixed number, simplify.

Worked examples

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

Question 1

Work out 3/5 + 1/10.

  1. Step 1: Common denominator 10: 3/5 = 6/10
  2. Step 2: 6/10 + 1/10 = 7/10
  3. Step 3: Can 7/10 simplify? No.

Answer: 7/10

Question 2

Work out 5/6 − 1/4.

  1. Step 1: Common denominator 12: 5/6 = 10/12 1/4 = 3/12
  2. Step 2: 10/12 − 3/12 = 7/12
  3. Step 3: Can 7/12 simplify? No.

Answer: 7/12

Question 3

Work out 21/4 + 12/3.

  1. Step 1: 21/4 = 9/4 12/3 = 5/3
  2. Step 2: Common denominator 12: 9/4 = 27/12 5/3 = 20/12
  3. Step 3: 27/12 + 20/12 = 47/12
  4. Step 4: Can 47/12 simplify? No.
  5. Step 5: 47/12 = 311/12

Answer: 311/12