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Grade 8 · Common Fractions
Adding & Subtracting Fractions
MEMORANDUM
Name: 
Class: 
Date: 
Mark
  / 19

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    2/9 + 5/9
    (1)
    Same denominator → 7/9✓ (1)
  2. 2
    7/8 − 3/8
    (1)
    4/8 = 1/2 (simplify)✓ (1)
  3. 3
    1/2 + 1/4
    (2)
    LCD 4 → 2/4 + 1/4 = 3/4✓✓ (2)
  4. 4
    2/3 + 1/6
    (2)
    LCD 6 → 4/6 + 1/6 = 5/6✓✓ (2)
  5. 5
    5/6 − 1/2
    (2)
    LCD 6 → 5/6 − 3/6 = 2/6 = 1/3✓✓ (2)
  6. 6
    3/4 + 2/5
    (2)
    LCD 20 → 15/20 + 8/20 = 23/20 = 1 3/20✓✓ (2)
  7. 7
    11/2 + 21/4
    (3)
    3/2 + 9/4 = 6/4 + 9/4 = 15/4 = 33/4✓✓✓ (3)
  8. 8
    31/3 − 11/2
    (3)
    10/3 − 3/2 = 20/6 − 9/6 = 11/6 = 1 5/6✓✓✓ (3)
  9. 9
    A pipe is 3/4 m long and another is 2/3 m. What is their total length?
    (3)
    LCD 12 → 9/12 + 8/12 = 17/12 = 1 5/12 m✓✓✓ (3)
TOTAL: 19 marks
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