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Operate with positive and negative fractions · Grade 9 · B3.4

Name: ______________________

Date: ______________________

1
Evaluate 1/2 + 1/4. Give your answer as a fraction in lowest terms.
Warm-up
Answer:
2
Evaluate 1/5 + 5/5. Give your answer as a fraction in lowest terms.
Warm-up
Answer:
3
Evaluate 5/2 + 3/5. Give your answer as a fraction in lowest terms.
Warm-up
Answer:
4
Evaluate −6/4 + 6/5. Give your answer as a fraction in lowest terms.
On level
Answer:
5
Evaluate −5/2 + 4/6. Give your answer as a fraction in lowest terms.
On level
Answer:
6
Evaluate −1/5 + 3/2. Give your answer as a fraction in lowest terms.
On level
Answer:
7
Evaluate −2/5 × 2/4. Give your answer as a fraction in lowest terms.
Challenge
Answer:
8
Evaluate −2/6 × 4/5. Give your answer as a fraction in lowest terms.
Challenge
Answer:
9
Evaluate −1/6 × 2/5. Give your answer as a fraction in lowest terms.
Challenge
Answer:

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Worksheet code: eyJzIjoibnVtYmVyLXJhdGlvbmFsLW9wZXJhdGlvbnMiLCJkIjpbMTE1NjYyOTg2Niw0Njc5OTQyNTYsMTM1MTQ0OTYzMCwyMDE2NjczODkzLDExNjM3MzM0NjcsMTg3NjQyMTI4NCw5OTI4NzgzNzAsMjcxNjIwMjYsNDk0NDcyNzgzXSwidiI6MX0.031d29e2ebf5

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Answer key · Operate with positive and negative fractions

1.
3/4 — Over the common denominator 8: 4/8 + 2/8 = 6/8 = 3/4.
2.
6/5 — Over the common denominator 25: 5/25 + 25/25 = 30/25 = 6/5.
3.
31/10 — Over the common denominator 10: 25/10 + 6/10 = 31/10 = 31/10.
4.
-3/10 — Over the common denominator 20: −30/20 + 24/20 = -6/20 = -3/10.
5.
-11/6 — Over the common denominator 12: −30/12 + 8/12 = -22/12 = -11/6.
6.
13/10 — Over the common denominator 10: −2/10 + 15/10 = 13/10 = 13/10.
7.
-1/5 — Multiply across: −(2 × 2) ÷ (5 × 4) = -4/20 = -1/5.
8.
-4/15 — Multiply across: −(2 × 4) ÷ (6 × 5) = -8/30 = -4/15.
9.
-1/15 — Multiply across: −(1 × 2) ÷ (6 × 5) = -2/30 = -1/15.