Grade 5 worksheet for subtracting fractions from mixed numbers with like denominators.
A Grade 5 math worksheet titled "Subtracting fractions from mixed numbers (like denominators)" with 16 problems involving subtraction of fractions and mixed numbers.
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Step-by-step solution for: Subtracting fractions from mixed numbers worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Subtracting fractions from mixed numbers worksheets | Worsheets library
Let’s solve each problem step by step. We’re subtracting fractions from mixed numbers, and all the fractions have the same denominator (like denominators), so we can subtract the numerators directly — but sometimes we need to borrow from the whole number if the fraction we’re subtracting is bigger.
We’ll go one by one:
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1. 3 1/7 - 2/7
The fraction part: 1/7 - 2/7 → can’t do that! So we borrow 1 from the 3.
3 becomes 2, and 1/7 becomes 8/7 (because 1 = 7/7, so 7/7 + 1/7 = 8/7).
Now: 2 8/7 - 2/7 = 2 6/7
✔ Answer: 2 6/7
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2. 9 3/12 - 7/12
Fraction part: 3/12 - 7/12 → too small! Borrow 1 from 9.
9 becomes 8, and 3/12 becomes 15/12 (because 1 = 12/12, so 12/12 + 3/12 = 15/12)
Now: 8 15/12 - 7/12 = 8 8/12 → simplify 8/12 to 2/3
✔ Answer: 8 2/3
*(Note: You can also leave as 8 8/12 if not asked to simplify, but usually we simplify. Let’s check instructions — it doesn’t say, but in grade 5, they often simplify. We’ll simplify unless told otherwise.)*
Wait — let me double-check: 8/12 reduces to 2/3? Yes, divide numerator and denominator by 4.
So yes, 8 2/3
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3. 1 3/8 - 5/8
3/8 - 5/8 → too small. Borrow 1 from 1.
1 becomes 0, and 3/8 becomes 11/8 (8/8 + 3/8 = 11/8)
Now: 0 11/8 - 5/8 = 6/8 → simplify to 3/4
✔ Answer: 3/4
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4. 2 10/15 - 12/15
10/15 - 12/15 → too small. Borrow 1 from 2.
2 becomes 1, and 10/15 becomes 25/15 (15/15 + 10/15 = 25/15)
Now: 1 25/15 - 12/15 = 1 13/15
✔ Answer: 1 13/15
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5. 12 88/100 - 94/100
88/100 - 94/100 → too small. Borrow 1 from 12.
12 becomes 11, and 88/100 becomes 188/100 (100/100 + 88/100 = 188/100)
Now: 11 188/100 - 94/100 = 11 94/100 → simplify 94/100
Divide numerator and denominator by 2: 47/50
✔ Answer: 11 47/50
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6. 19 37/50 - 45/50
37/50 - 45/50 → too small. Borrow 1 from 19.
19 becomes 18, and 37/50 becomes 87/50 (50/50 + 37/50 = 87/50)
Now: 18 87/50 - 45/50 = 18 42/50 → simplify 42/50
Divide by 2: 21/25
✔ Answer: 18 21/25
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7. 3 10/15 - 14/15
10/15 - 14/15 → too small. Borrow 1 from 3.
3 becomes 2, and 10/15 becomes 25/15 (15/15 + 10/15 = 25/15)
Now: 2 25/15 - 14/15 = 2 11/15
✔ Answer: 2 11/15
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8. 7 2/8 - 3/8
2/8 - 3/8 → too small. Borrow 1 from 7.
7 becomes 6, and 2/8 becomes 10/8 (8/8 + 2/8 = 10/8)
Now: 6 10/8 - 3/8 = 6 7/8
✔ Answer: 6 7/8
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9. 10 2/20 - 10/20
2/20 - 10/20 → too small. Borrow 1 from 10.
10 becomes 9, and 2/20 becomes 22/20 (20/20 + 2/20 = 22/20)
Now: 9 22/20 - 10/20 = 9 12/20 → simplify 12/20
Divide by 4: 3/5
✔ Answer: 9 3/5
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10. 2 1/4 - 2/4
1/4 - 2/4 → too small. Borrow 1 from 2.
2 becomes 1, and 1/4 becomes 5/4 (4/4 + 1/4 = 5/4)
Now: 1 5/4 - 2/4 = 1 3/4
✔ Answer: 1 3/4
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11. 6 14/25 - 22/25
14/25 - 22/25 → too small. Borrow 1 from 6.
6 becomes 5, and 14/25 becomes 39/25 (25/25 + 14/25 = 39/25)
Now: 5 39/25 - 22/25 = 5 17/25
✔ Answer: 5 17/25
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12. 9 3/16 - 4/16
3/16 - 4/16 → too small. Borrow 1 from 9.
9 becomes 8, and 3/16 becomes 19/16 (16/16 + 3/16 = 19/16)
Now: 8 19/16 - 4/16 = 8 15/16
✔ Answer: 8 15/16
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13. 13 2/5 - 3/5
2/5 - 3/5 → too small. Borrow 1 from 13.
13 becomes 12, and 2/5 becomes 7/5 (5/5 + 2/5 = 7/5)
Now: 12 7/5 - 3/5 = 12 4/5
✔ Answer: 12 4/5
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14. 11 7/9 - 8/9
7/9 - 8/9 → too small. Borrow 1 from 11.
11 becomes 10, and 7/9 becomes 16/9 (9/9 + 7/9 = 16/9)
Now: 10 16/9 - 8/9 = 10 8/9
✔ Answer: 10 8/9
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15. 18 1/3 - 2/3
1/3 - 2/3 → too small. Borrow 1 from 18.
18 becomes 17, and 1/3 becomes 4/3 (3/3 + 1/3 = 4/3)
Now: 17 4/3 - 2/3 = 17 2/3
✔ Answer: 17 2/3
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16. 7 5/10 - 7/10
5/10 - 7/10 → too small. Borrow 1 from 7.
7 becomes 6, and 5/10 becomes 15/10 (10/10 + 5/10 = 15/10)
Now: 6 15/10 - 7/10 = 6 8/10 → simplify 8/10 to 4/5
✔ Answer: 6 4/5
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Final Answers:
1. 2 6/7
2. 8 2/3
3. 3/4
4. 1 13/15
5. 11 47/50
6. 18 21/25
7. 2 11/15
8. 6 7/8
9. 9 3/5
10. 1 3/4
11. 5 17/25
12. 8 15/16
13. 12 4/5
14. 10 8/9
15. 17 2/3
16. 6 4/5
We’ll go one by one:
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1. 3 1/7 - 2/7
The fraction part: 1/7 - 2/7 → can’t do that! So we borrow 1 from the 3.
3 becomes 2, and 1/7 becomes 8/7 (because 1 = 7/7, so 7/7 + 1/7 = 8/7).
Now: 2 8/7 - 2/7 = 2 6/7
✔ Answer: 2 6/7
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2. 9 3/12 - 7/12
Fraction part: 3/12 - 7/12 → too small! Borrow 1 from 9.
9 becomes 8, and 3/12 becomes 15/12 (because 1 = 12/12, so 12/12 + 3/12 = 15/12)
Now: 8 15/12 - 7/12 = 8 8/12 → simplify 8/12 to 2/3
✔ Answer: 8 2/3
*(Note: You can also leave as 8 8/12 if not asked to simplify, but usually we simplify. Let’s check instructions — it doesn’t say, but in grade 5, they often simplify. We’ll simplify unless told otherwise.)*
Wait — let me double-check: 8/12 reduces to 2/3? Yes, divide numerator and denominator by 4.
So yes, 8 2/3
---
3. 1 3/8 - 5/8
3/8 - 5/8 → too small. Borrow 1 from 1.
1 becomes 0, and 3/8 becomes 11/8 (8/8 + 3/8 = 11/8)
Now: 0 11/8 - 5/8 = 6/8 → simplify to 3/4
✔ Answer: 3/4
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4. 2 10/15 - 12/15
10/15 - 12/15 → too small. Borrow 1 from 2.
2 becomes 1, and 10/15 becomes 25/15 (15/15 + 10/15 = 25/15)
Now: 1 25/15 - 12/15 = 1 13/15
✔ Answer: 1 13/15
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5. 12 88/100 - 94/100
88/100 - 94/100 → too small. Borrow 1 from 12.
12 becomes 11, and 88/100 becomes 188/100 (100/100 + 88/100 = 188/100)
Now: 11 188/100 - 94/100 = 11 94/100 → simplify 94/100
Divide numerator and denominator by 2: 47/50
✔ Answer: 11 47/50
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6. 19 37/50 - 45/50
37/50 - 45/50 → too small. Borrow 1 from 19.
19 becomes 18, and 37/50 becomes 87/50 (50/50 + 37/50 = 87/50)
Now: 18 87/50 - 45/50 = 18 42/50 → simplify 42/50
Divide by 2: 21/25
✔ Answer: 18 21/25
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7. 3 10/15 - 14/15
10/15 - 14/15 → too small. Borrow 1 from 3.
3 becomes 2, and 10/15 becomes 25/15 (15/15 + 10/15 = 25/15)
Now: 2 25/15 - 14/15 = 2 11/15
✔ Answer: 2 11/15
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8. 7 2/8 - 3/8
2/8 - 3/8 → too small. Borrow 1 from 7.
7 becomes 6, and 2/8 becomes 10/8 (8/8 + 2/8 = 10/8)
Now: 6 10/8 - 3/8 = 6 7/8
✔ Answer: 6 7/8
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9. 10 2/20 - 10/20
2/20 - 10/20 → too small. Borrow 1 from 10.
10 becomes 9, and 2/20 becomes 22/20 (20/20 + 2/20 = 22/20)
Now: 9 22/20 - 10/20 = 9 12/20 → simplify 12/20
Divide by 4: 3/5
✔ Answer: 9 3/5
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10. 2 1/4 - 2/4
1/4 - 2/4 → too small. Borrow 1 from 2.
2 becomes 1, and 1/4 becomes 5/4 (4/4 + 1/4 = 5/4)
Now: 1 5/4 - 2/4 = 1 3/4
✔ Answer: 1 3/4
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11. 6 14/25 - 22/25
14/25 - 22/25 → too small. Borrow 1 from 6.
6 becomes 5, and 14/25 becomes 39/25 (25/25 + 14/25 = 39/25)
Now: 5 39/25 - 22/25 = 5 17/25
✔ Answer: 5 17/25
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12. 9 3/16 - 4/16
3/16 - 4/16 → too small. Borrow 1 from 9.
9 becomes 8, and 3/16 becomes 19/16 (16/16 + 3/16 = 19/16)
Now: 8 19/16 - 4/16 = 8 15/16
✔ Answer: 8 15/16
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13. 13 2/5 - 3/5
2/5 - 3/5 → too small. Borrow 1 from 13.
13 becomes 12, and 2/5 becomes 7/5 (5/5 + 2/5 = 7/5)
Now: 12 7/5 - 3/5 = 12 4/5
✔ Answer: 12 4/5
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14. 11 7/9 - 8/9
7/9 - 8/9 → too small. Borrow 1 from 11.
11 becomes 10, and 7/9 becomes 16/9 (9/9 + 7/9 = 16/9)
Now: 10 16/9 - 8/9 = 10 8/9
✔ Answer: 10 8/9
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15. 18 1/3 - 2/3
1/3 - 2/3 → too small. Borrow 1 from 18.
18 becomes 17, and 1/3 becomes 4/3 (3/3 + 1/3 = 4/3)
Now: 17 4/3 - 2/3 = 17 2/3
✔ Answer: 17 2/3
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16. 7 5/10 - 7/10
5/10 - 7/10 → too small. Borrow 1 from 7.
7 becomes 6, and 5/10 becomes 15/10 (10/10 + 5/10 = 15/10)
Now: 6 15/10 - 7/10 = 6 8/10 → simplify 8/10 to 4/5
✔ Answer: 6 4/5
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Final Answers:
1. 2 6/7
2. 8 2/3
3. 3/4
4. 1 13/15
5. 11 47/50
6. 18 21/25
7. 2 11/15
8. 6 7/8
9. 9 3/5
10. 1 3/4
11. 5 17/25
12. 8 15/16
13. 12 4/5
14. 10 8/9
15. 17 2/3
16. 6 4/5
Parent Tip: Review the logic above to help your child master the concept of subtracting fraction worksheet.