Let’s solve each problem step by step. We’re subtracting mixed numbers — that means we subtract the whole numbers and the fractions separately. But sometimes, the top fraction is smaller than the bottom one, so we need to “borrow” from the whole number.
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Problem 1: 5 3/5 - 2 1/10
Step 1: Find a common denominator for 5 and 10 → it’s 10.
Convert 3/5 to 6/10.
Now: 5 6/10 - 2 1/10
Step 2: Subtract whole numbers: 5 - 2 = 3
Subtract fractions: 6/10 - 1/10 = 5/10 = 1/2
Answer:
3 1/2
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Problem 2: 5 2/3 - 4 2/4
Step 1: Simplify 2/4 to 1/2. Now: 5 2/3 - 4 1/2
Common denominator for 3 and 2 → 6
Convert: 2/3 = 4/6, 1/2 = 3/6
Now: 5 4/6 - 4 3/6
Step 2: Whole numbers: 5 - 4 = 1
Fractions: 4/6 - 3/6 = 1/6
Answer:
1 1/6
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Problem 3: 5 3/4 - 4 2/5
Step 1: Common denominator for 4 and 5 → 20
Convert: 3/4 = 15/20, 2/5 = 8/20
Now: 5 15/20 - 4 8/20
Step 2: Whole numbers: 5 - 4 = 1
Fractions: 15/20 - 8/20 = 7/20
Answer:
1 7/20
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Problem 4: 9 3/5 - 1 2/4
Step 1: Simplify 2/4 to 1/2. Now: 9 3/5 - 1 1/2
Common denominator for 5 and 2 → 10
Convert: 3/5 = 6/10, 1/2 = 5/10
Now: 9 6/10 - 1 5/10
Step 2: Whole numbers: 9 - 1 = 8
Fractions: 6/10 - 5/10 = 1/10
Answer:
8 1/10
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Problem 5: 6 3/10 - 1 1/4
Step 1: Common denominator for 10 and 4 → 20
Convert: 3/10 = 6/20, 1/4 = 5/20
Now: 6 6/20 - 1 5/20
Step 2: Whole numbers: 6 - 1 = 5
Fractions: 6/20 - 5/20 = 1/20
Answer:
5 1/20
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Problem 6: 9 1/4 - 3 1/5
Step 1: Common denominator for 4 and 5 → 20
Convert: 1/4 = 5/20, 1/5 = 4/20
Now: 9 5/20 - 3 4/20
Step 2: Whole numbers: 9 - 3 = 6
Fractions: 5/20 - 4/20 = 1/20
Answer:
6 1/20
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Problem 7: 9 1/3 - 4 1/5
Step 1: Common denominator for 3 and 5 → 15
Convert: 1/3 = 5/15, 1/5 = 3/15
Now: 9 5/15 - 4 3/15
Step 2: Whole numbers: 9 - 4 = 5
Fractions: 5/15 - 3/15 = 2/15
Answer:
5 2/15
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Problem 8: 6 4/5 - 1 1/4
Step 1: Common denominator for 5 and 4 → 20
Convert: 4/5 = 16/20, 1/4 = 5/20
Now: 6 16/20 - 1 5/20
Step 2: Whole numbers: 6 - 1 = 5
Fractions: 16/20 - 5/20 = 11/20
Answer:
5 11/20
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Problem 9: 9 7/10 - 1 2/3
Step 1: Common denominator for 10 and 3 → 30
Convert: 7/10 = 21/30, 2/3 = 20/30
Now: 9 21/30 - 1 20/30
Step 2: Whole numbers: 9 - 1 = 8
Fractions: 21/30 - 20/30 = 1/30
Answer:
8 1/30
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Problem 10: 6 2/4 - 3 4/10
Step 1: Simplify fractions first.
2/4 = 1/2, 4/10 = 2/5
Now: 6 1/2 - 3 2/5
Step 2: Common denominator for 2 and 5 → 10
Convert: 1/2 = 5/10, 2/5 = 4/10
Now: 6 5/10 - 3 4/10
Step 3: Whole numbers: 6 - 3 = 3
Fractions: 5/10 - 4/10 = 1/10
Answer:
3 1/10
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Final Answer:
1) 3 1/2
2) 1 1/6
3) 1 7/20
4) 8 1/10
5) 5 1/20
6) 6 1/20
7) 5 2/15
8) 5 11/20
9) 8 1/30
10) 3 1/10
Parent Tip: Review the logic above to help your child master the concept of subtracting mixed numbers with renaming worksheet.
