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

Name: ______________________

Date: ______________________

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

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Worksheet code: eyJzIjoibnVtYmVyLXJhdGlvbmFsLW9wZXJhdGlvbnMiLCJkIjpbNzMyMjAzMjAxLDY5NDE3OTk1NywxNTY1MzgwNTQyLDIwODcwMDIzODMsMTY1NTk2NDAzOCwyODY2MTA4NjYsMTU1Nzk4MTA3LDk3MzczNzc5NiwxODAxNzMwOTkxXSwidiI6MX0.52075d9e6361

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Answer key · Operate with positive and negative fractions

1.
5/6 — Over the common denominator 12: 6/12 + 4/12 = 10/12 = 5/6.
2.
8/5 — Over the common denominator 15: 9/15 + 15/15 = 24/15 = 8/5.
3.
8/3 — Over the common denominator 6: 12/6 + 4/6 = 16/6 = 8/3.
4.
1 — Over the common denominator 4: −2/4 + 6/4 = 4/4 = 1.
5.
0 — Over the common denominator 10: −10/10 + 10/10 = 0/10 = 0.
6.
1/3 — Over the common denominator 12: −8/12 + 12/12 = 4/12 = 1/3.
7.
-1/2 — Multiply across: −(4 × 3) ÷ (6 × 4) = -12/24 = -1/2.
8.
-1/4 — Multiply across: −(1 × 6) ÷ (4 × 6) = -6/24 = -1/4.
9.
-2/25 — Multiply across: −(2 × 1) ÷ (5 × 5) = -2/25 = -2/25.