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Year 6 Maths — Unlike fractions and mixed numbers

Add and subtract fractions with different denominators, and swap between mixed numbers and improper fractions.

Name: ________________________

  1. 1.One job takes 1 1/4 hours and another takes 1/2 an hour. How long do they take altogether? Write your answer as a mixed number.

  2. 2.Sort each fraction by how it compares with a half.

    Groups: Less than a half · More than a half

    • 7/10
    • 2/5
    • 1/3
    • 5/8
    • 3/4
    • 1/6

  3. 3.3/4 - 1/8 = ? Write your answer as a fraction.

  4. 4.Match each mixed number to the improper fraction worth the same.

    • 1 1/2
    • 2 1/3
    • 1 3/4
    • 2 1/2
    • 3 1/3
    • 5/2
    • 10/3
    • 7/4
    • 3/2
    • 7/3

  5. 5.Write 2 1/3 as an improper fraction.

  6. 6.Three eighths of a cake are eaten in the morning and two eighths in the afternoon. What fraction of the cake has been eaten? Write your answer as a fraction.

  7. 7.Put these fractions in order, smallest first.

    • 1/3
    • 2/3
    • 1/2
    • 1/6

  8. 8.A film lasts 3 1/2 hours, and 1 1/4 hours of it have been watched. How much is left? Write your answer as a mixed number.

Answer key — Year 6 Maths — Unlike fractions and mixed numbers

  1. 1. 1 3/4
  2. 2. 1/3 → Less than a half; 5/8 → More than a half; 2/5 → Less than a half; 3/4 → More than a half; 1/6 → Less than a half; 7/10 → More than a half
  3. 3. 5/8
  4. 4. 1 1/2 → 3/2; 2 1/3 → 7/3; 1 3/4 → 7/4; 2 1/2 → 5/2; 3 1/3 → 10/3
  5. 5. 7/3
  6. 6. 5/8
  7. 7. 1. 1/6 2. 1/3 3. 1/2 4. 2/3
  8. 8. 2 1/4