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

Name: ______________________

Date: ______________________

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

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Worksheet code: eyJzIjoibnVtYmVyLXJhdGlvbmFsLW9wZXJhdGlvbnMiLCJkIjpbMTIwNjkzNjQyOCw3NzQ5OTM1MzQsOTU0ODU5OTM3LDU3MDM2NDI3MCw4MTgzNjQ0OTksNDM3OTM4OTY2LDE2Mjg0NzcwNzgsNTkxNTAzMjEsMjM4MjM3MTQ1XSwidiI6MX0.fa0286582817

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Answer key · Operate with positive and negative fractions

1.
5/6 — Over the common denominator 12: 4/12 + 6/12 = 10/12 = 5/6.
2.
23/10 — Over the common denominator 10: 15/10 + 8/10 = 23/10 = 23/10.
3.
7/6 — Over the common denominator 24: 16/24 + 12/24 = 28/24 = 7/6.
4.
13/12 — Over the common denominator 24: −4/24 + 30/24 = 26/24 = 13/12.
5.
-7/15 — Over the common denominator 30: −24/30 + 10/30 = -14/30 = -7/15.
6.
-2/3 — Over the common denominator 12: −12/12 + 4/12 = -8/12 = -2/3.
7.
-6 — Multiply across: −(6 × 6) ÷ (2 × 3) = -36/6 = -6.
8.
-1/2 — Multiply across: −(2 × 3) ÷ (4 × 3) = -6/12 = -1/2.
9.
-2 — Multiply across: −(4 × 6) ÷ (2 × 6) = -24/12 = -2.