MathIQO — Adaptive math practice for Ontario kids

MathIQO worksheet

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

Name: ______________________

Date: ______________________

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

✅ Done? See how you did — check in at mathiqo.com/check-in

Worksheet code: eyJzIjoibnVtYmVyLXJhdGlvbmFsLW9wZXJhdGlvbnMiLCJkIjpbMTg5MDg2NzAwNSw3NjYwNTA2OTQsMTE0NDkwMjE5MywxODc2MTA1OTk1LDI0NTQwNzA1MCw5NzQ5ODkyMzgsMTkxNjE1NzgzNiwxMTk5MTUxMzkwLDEwOTIwNjYzMV0sInYiOjF9.7eae1f320fa0

A quick 5-question check-in grades itself instantly and shows what to practise next.

Answer key · Operate with positive and negative fractions

1.
1 — Over the common denominator 16: 8/16 + 8/16 = 16/16 = 1.
2.
2 — Over the common denominator 16: 20/16 + 12/16 = 32/16 = 2.
3.
13/12 — Over the common denominator 12: 4/12 + 9/12 = 13/12 = 13/12.
4.
-7/12 — Over the common denominator 12: −16/12 + 9/12 = -7/12 = -7/12.
5.
1/2 — Over the common denominator 6: −9/6 + 12/6 = 3/6 = 1/2.
6.
3/4 — Over the common denominator 8: −2/8 + 8/8 = 6/8 = 3/4.
7.
-1/4 — Multiply across: −(2 × 2) ÷ (4 × 4) = -4/16 = -1/4.
8.
-5/2 — Multiply across: −(6 × 5) ÷ (4 × 3) = -30/12 = -5/2.
9.
-1/4 — Multiply across: −(3 × 1) ÷ (2 × 6) = -3/12 = -1/4.