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Grade 7 · Math · Unit 3 of 16

Adding & Subtracting Fractions

Unlike denominators and mixed numbers

What your child practises

Adding and subtracting positive fractions and mixed numbers with like and unlike denominators, in lowest terms.

Nunavut Curriculum approved guide: Alberta Mathematics K–9 (2007), Number · adding and subtracting positive fractions and mixed numbers with unlike denominators

How we explain it

Children can open this short lesson before they practise.

  1. Rename the fractions with a common denominator.
  2. Add or subtract the tops. Keep the bottom.
  3. For mixed numbers, add the whole parts and the fraction parts, then tidy up.

Example: 1/2 + 1/4 = ? Common denominator: 4. 1/2 = 2/4. 2/4 + 1/4 = 3/4. Answer: 3/4

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    What is 2 4/5 − 1 1/2?

    • 1 3/10
    • 1 5/7
    • 2 3/10
    • 3/10
  2. Question 2

    What is 2/3 − 2/6?

    2/3 − 2/6

    • 1/2
    • 2/3
    • 1/3
    • 1/6
  3. Question 3

    Amir walked 1/6 km to the library and then 5/10 km to a friend's house. How far did Amir walk in all, in kilometres?

    • 2/3
    • 7/10
    • 3/8
    • 1/5
  4. Question 4

    Amir walked 4/6 km to the library and then 3/8 km to a friend's house. How far did Amir walk in all, in kilometres?

    • 1 1/12
    • 7/24
    • 1 1/24
    • 1/2
  5. Question 5

    What is 1/2 + 5/12?

    1/2 + 5/12

    • 3/7
    • 1
    • 11/12
    • 1/2
  6. Question 6

    What is 2 5/6 + 3 1/3?

    • 5 2/3
    • 6 1/6
    • 5 1/6
    • 7 1/6