Let’s solve each problem step by step.
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Problem 1: 6 - 2/5 - 7/6
We need to subtract fractions from a whole number. First, convert 6 into a fraction with denominator 30 (LCM of 5 and 6).
6 = 180/30
2/5 = 12/30
7/6 = 35/30
Now:
180/30 - 12/30 - 35/30 = (180 - 12 - 35)/30 = 133/30
✔ Answer:
A) 133/30
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Problem 2: 3/2 × 2 × 1/2
Multiply left to right:
3/2 × 2 = 3
3 × 1/2 = 3/2
✔ Answer:
D) 3/2
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Problem 3: 6 × 2 ÷ 3/5
Division by a fraction = multiply by reciprocal.
6 × 2 = 12
12 ÷ 3/5 = 12 × 5/3 = 60/3 = 20
✔ Answer:
B) 20
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Problem 4: (2 + 2/3) × 1/5
First, add inside parentheses:
2 + 2/3 = 8/3
Then multiply: 8/3 × 1/5 = 8/15
✔ Answer:
D) 8/15
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Problem 5: 2 × 9/5 × 1/5
Multiply all together:
2 × 9/5 = 18/5
18/5 × 1/5 = 18/25
✔ Answer:
A) 18/25
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Problem 6: 2(5/3 - 1)
Inside parentheses: 5/3 - 1 = 5/3 - 3/3 = 2/3
Then multiply: 2 × 2/3 = 4/3
✔ Answer:
D) 4/3
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Problem 7: 3/2(1 - 1/2)
Inside: 1 - 1/2 = 1/2
Then: 3/2 × 1/2 = 3/4
✔ Answer:
C) 3/4
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Problem 8: 5/3 ÷ (1/2 + 1/2)
Inside: 1/2 + 1/2 = 1
Then: 5/3 ÷ 1 = 5/3
✔ Answer:
B) 5/3
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Problem 9: (1/4 + 3/2) ÷ 2
Inside: 1/4 + 3/2 = 1/4 + 6/4 = 7/4
Then: 7/4 ÷ 2 = 7/4 × 1/2 = 7/8
✔ Answer:
C) 7/8
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Problem 10: (6 × 4/5) ÷ 5/6
First: 6 × 4/5 = 24/5
Then: 24/5 ÷ 5/6 = 24/5 × 6/5 = 144/25
✔ Answer:
C) 144/25
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Final Answer:
1) A
2) D
3) B
4) D
5) A
6) D
7) C
8) B
9) C
10) C
Parent Tip: Review the logic above to help your child master the concept of operations with real numbers worksheet.
