KS2 Maths textbook

Year 6 Fractions: lesson and practice

  • Strand Fractions
  • Level Year 6
  • Practice 95 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 6. Content: Use common factors to simplify fractions, Use common multiples to express fractions in the same denomination, Compare and order fractions, including fractions greater than 1, Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions, Multiply simple pairs of proper fractions, writing the answer in its simplest form (for example 1/4 × 1/2 = 1/8), Divide proper fractions by whole numbers (for example 1/3 ÷ 2 = 1/6), Associate a fraction with division and calculate decimal fraction equivalents (for example 3/8 = 0.375).

Open Year 6 chapter

By the end of this chapter you will be able to

  • Simplify a fraction to its simplest form by dividing the top and bottom by their highest common factor
  • Write fractions with the same denominator, using the lowest common denominator (a common multiple)
  • Compare and order fractions, including fractions and mixed numbers greater than 1
  • Add and subtract fractions and mixed numbers with different denominators, and simplify the answer
  • Multiply two proper fractions and write the answer in its simplest form
  • Divide a proper fraction by a whole number
  • Change a fraction to a decimal with long division, and a decimal to a fraction
  • Solve problems with fractions and explain whether a statement is always, sometimes or never true

You should already know

  • Factors, common factors and the HCF; multiples and the LCM (Year 6, Chapter 3)
  • Equivalent fractions and adding fractions with the same denominator (Year 5, Chapter 6)
  • Times tables up to 12 × 12 and the related division facts

Where this leads

  • Decimals: place value to three decimal places and rounding (Chapter 5)
  • Percentages as fractions and decimals, such as 15% of 360 (Chapter 6)
  • Ratio and proportion with fractions of amounts (Chapter 7)

Lessons in this chapter

  1. 4.1 Simplifying fractions
  2. 4.2 Common multiples and the same denominator
  3. 4.3 Comparing and ordering fractions
  4. 4.4 Adding and subtracting fractions and mixed numbers
  5. 4.5 Multiplying fractions
  6. 4.6 Dividing fractions by whole numbers
  7. 4.7 Fractions as division and decimals
  8. Summary and key words
  9. Check-up and SATs-style questions

Read the whole chapter on one page (good for printing).

Practise with real exam questions

The DfE publishes every past KS2 test, with mark schemes, for free.

KS2 Maths past papers