Let’s solve each problem step by step.
To convert a mixed number to an improper fraction:
1. Multiply the whole number by the denominator.
2. Add the numerator to that result.
3. Keep the same denominator.
We’ll do this for all 21 problems.
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Problem 1:
3 4/10
→ (3 × 10) + 4 = 30 + 4 = 34 →
34/10
Problem 2:
3 1/3
→ (3 × 3) + 1 = 9 + 1 = 10 →
10/3
Problem 3:
2 5/6
→ (2 × 6) + 5 = 12 + 5 = 17 →
17/6
Problem 4:
2 2/4
→ (2 × 4) + 2 = 8 + 2 = 10 →
10/4
Problem 5:
3 5/6
→ (3 × 6) + 5 = 18 + 5 = 23 →
23/6
Problem 6:
2 2/8
→ (2 × 8) + 2 = 16 + 2 = 18 →
18/8
Problem 7:
3 2/3
→ (3 × 3) + 2 = 9 + 2 = 11 →
11/3
Problem 8:
3 3/6
→ (3 × 6) + 3 = 18 + 3 = 21 →
21/6
Problem 9:
1 7/8
→ (1 × 8) + 7 = 8 + 7 = 15 →
15/8
Problem 10:
1 1/4
→ (1 × 4) + 1 = 4 + 1 = 5 →
5/4
Problem 11:
1 1/6
→ (1 × 6) + 1 = 6 + 1 = 7 →
7/6
Problem 12:
2 2/5
→ (2 × 5) + 2 = 10 + 2 = 12 →
12/5
Problem 13:
2 11/12
→ (2 × 12) + 11 = 24 + 11 = 35 →
35/12
Problem 14:
2 1/2
→ (2 × 2) + 1 = 4 + 1 = 5 →
5/2
Problem 15:
1 1/2
→ (1 × 2) + 1 = 2 + 1 = 3 →
3/2
Problem 16:
1 5/10
→ (1 × 10) + 5 = 10 + 5 = 15 →
15/10
Problem 17:
2 1/3
→ (2 × 3) + 1 = 6 + 1 = 7 →
7/3
Problem 18:
1 3/4
→ (1 × 4) + 3 = 4 + 3 = 7 →
7/4
Problem 19:
3 8/10
→ (3 × 10) + 8 = 30 + 8 = 38 →
38/10
Problem 20:
3 2/5
→ (3 × 5) + 2 = 15 + 2 = 17 →
17/5
Problem 21:
2 2/3
→ (2 × 3) + 2 = 6 + 2 = 8 →
8/3
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Final Answer:
1. 34/10
2. 10/3
3. 17/6
4. 10/4
5. 23/6
6. 18/8
7. 11/3
8. 21/6
9. 15/8
10. 5/4
11. 7/6
12. 12/5
13. 35/12
14. 5/2
15. 3/2
16. 15/10
17. 7/3
18. 7/4
19. 38/10
20. 17/5
21. 8/3
Parent Tip: Review the logic above to help your child master the concept of grade 4 math worksheets.