Let’s solve each of the 10 fraction subtraction problems step by step.
We’ll use this method:
1. Find a common denominator (a number both denominators divide into).
2. Convert both fractions to have that common denominator.
3. Subtract the numerators.
4. Simplify the answer if needed.
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Problem 1: 5/6 - 2/3
- Common denominator of 6 and 3 is 6.
- 2/3 = 4/6 (multiply numerator and denominator by 2)
- 5/6 - 4/6 = 1/6 → already simplified.
✔ Answer:
1/6
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Problem 2: 1/2 - 1/7
- Common denominator of 2 and 7 is 14.
- 1/2 = 7/14
- 1/7 = 2/14
- 7/14 - 2/14 = 5/14 → already simplified.
✔ Answer:
5/14
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Problem 3: 7/10 - 1/4
- Common denominator of 10 and 4 is 20.
- 7/10 = 14/20
- 1/4 = 5/20
- 14/20 - 5/20 = 9/20 → already simplified.
✔ Answer:
9/20
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Problem 4: 4/9 - 1/6
- Common denominator of 9 and 6 is 18.
- 4/9 = 8/18
- 1/6 = 3/18
- 8/18 - 3/18 = 5/18 → already simplified.
✔ Answer:
5/18
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Problem 5: 2/3 - 5/9
- Common denominator of 3 and 9 is 9.
- 2/3 = 6/9
- 6/9 - 5/9 = 1/9 → already simplified.
✔ Answer:
1/9
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Problem 6: 7/8 - 2/5
- Common denominator of 8 and 5 is 40.
- 7/8 = 35/40
- 2/5 = 16/40
- 35/40 - 16/40 = 19/40 → already simplified.
✔ Answer:
19/40
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Problem 7: 4/5 - 8/11
- Common denominator of 5 and 11 is 55.
- 4/5 = 44/55
- 8/11 = 40/55
- 44/55 - 40/55 = 4/55 → already simplified.
✔ Answer:
4/55
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Problem 8: 6/7 - 4/21
- Common denominator of 7 and 21 is 21.
- 6/7 = 18/21
- 18/21 - 4/21 = 14/21 → simplify by dividing numerator and denominator by 7 → 2/3.
✔ Answer:
2/3
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Problem 9: 2/3 - 7/33
- Common denominator of 3 and 33 is 33.
- 2/3 = 22/33
- 22/33 - 7/33 = 15/33 → simplify by dividing by 3 → 5/11.
✔ Answer:
5/11
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Problem 10: 3/10 - 7/40
- Common denominator of 10 and 40 is 40.
- 3/10 = 12/40
- 12/40 - 7/40 = 5/40 → simplify by dividing by 5 → 1/8.
✔ Answer:
1/8
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Final Answer:
1. 1/6
2. 5/14
3. 9/20
4. 5/18
5. 1/9
6. 19/40
7. 4/55
8. 2/3
9. 5/11
10. 1/8
Parent Tip: Review the logic above to help your child master the concept of free adding and subtracting fractions worksheet.
