Let’s solve each subtraction problem step by step. We’ll subtract mixed numbers by first making sure the fractions have the same denominator (common denominator), then subtracting the whole numbers and fractions separately. If needed, we’ll borrow from the whole number.
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1. 6 1/3 - 3 1/12
- Convert 1/3 to twelfths: 1/3 = 4/12
- So: 6 4/12 - 3 1/12
- Subtract whole numbers: 6 - 3 = 3
- Subtract fractions: 4/12 - 1/12 = 3/12 = 1/4
- Answer:
3 1/4
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2. 7 3/4 - 1 2/4
- Fractions already have same denominator.
- Whole numbers: 7 - 1 = 6
- Fractions: 3/4 - 2/4 = 1/4
- Answer:
6 1/4
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3. 9 5/6 - 3 1/18
- Convert 5/6 to eighteenths: 5/6 = 15/18
- So: 9 15/18 - 3 1/18
- Whole numbers: 9 - 3 = 6
- Fractions: 15/18 - 1/18 = 14/18 = 7/9
- Answer:
6 7/9
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4. 5 8/9 - 3 5/9
- Same denominator.
- Whole numbers: 5 - 3 = 2
- Fractions: 8/9 - 5/9 = 3/9 = 1/3
- Answer:
2 1/3
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5. 3 3/4 - 3 5/8
- Convert to eighths: 3/4 = 6/8
- So: 3 6/8 - 3 5/8
- Whole numbers: 3 - 3 = 0
- Fractions: 6/8 - 5/8 = 1/8
- Answer:
1/8
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6. 4 2/3 - 3 2/5
- Find common denominator of 3 and 5 → 15
- 2/3 = 10/15; 2/5 = 6/15
- So: 4 10/15 - 3 6/15
- Whole numbers: 4 - 3 = 1
- Fractions: 10/15 - 6/15 = 4/15
- Answer:
1 4/15
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7. 11 5/6 - 5 1/2
- Convert 1/2 to sixths: 1/2 = 3/6
- So: 11 5/6 - 5 3/6
- Whole numbers: 11 - 5 = 6
- Fractions: 5/6 - 3/6 = 2/6 = 1/3
- Answer:
6 1/3
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8. 8 1/5 - 1 1/8
- Common denominator of 5 and 8 → 40
- 1/5 = 8/40; 1/8 = 5/40
- So: 8 8/40 - 1 5/40
- Whole numbers: 8 - 1 = 7
- Fractions: 8/40 - 5/40 = 3/40
- Answer:
7 3/40
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9. 3 2/7 - 3 1/14
- Convert 2/7 to fourteenths: 2/7 = 4/14
- So: 3 4/14 - 3 1/14
- Whole numbers: 3 - 3 = 0
- Fractions: 4/14 - 1/14 = 3/14
- Answer:
3/14
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10. 10 1/3 - 4 4/21
- Convert 1/3 to twenty-firsts: 1/3 = 7/21
- So: 10 7/21 - 4 4/21
- Whole numbers: 10 - 4 = 6
- Fractions: 7/21 - 4/21 = 3/21 = 1/7
- Answer:
6 1/7
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Final Answer:
1. 3 1/4
2. 6 1/4
3. 6 7/9
4. 2 1/3
5. 1/8
6. 1 4/15
7. 6 1/3
8. 7 3/40
9. 3/14
10. 6 1/7
Parent Tip: Review the logic above to help your child master the concept of worksheet subtraction of mixed numbers.
