Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Of course! Let's solve each multiplication problem step by step. The goal is to multiply the fractions and then simplify the result to its simplest form or as a mixed number if needed.
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1. Multiply the numerators (top numbers) together.
2. Multiply the denominators (bottom numbers) together.
3. Simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD).
4. If the result is an improper fraction (numerator ≥ denominator), convert it to a mixed number.
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Let’s go row by row:
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Row 1:
1. $\frac{4}{2} \times \frac{1}{3}$
- Numerator: $4 \times 1 = 4$
- Denominator: $2 \times 3 = 6$
- Result: $\frac{4}{6} = \frac{2}{3}$ (simplified by dividing by 2)
✔ Answer: $\frac{2}{3}$
2. $\frac{9}{3} \times \frac{1}{4}$
- Numerator: $9 \times 1 = 9$
- Denominator: $3 \times 4 = 12$
- Result: $\frac{9}{12} = \frac{3}{4}$ (simplified by dividing by 3)
✔ Answer: $\frac{3}{4}$
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Row 2:
3. $\frac{5}{3} \times \frac{1}{2}$
- $5 \times 1 = 5$, $3 \times 2 = 6$ → $\frac{5}{6}$
✔ Answer: $\frac{5}{6}$
4. $\frac{7}{4} \times \frac{1}{3}$
- $7 \times 1 = 7$, $4 \times 3 = 12$ → $\frac{7}{12}$
✔ Answer: $\frac{7}{12}$
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Row 3:
5. $\frac{8}{5} \times \frac{1}{6}$
- $8 \times 1 = 8$, $5 \times 6 = 30$ → $\frac{8}{30} = \frac{4}{15}$ (÷2)
✔ Answer: $\frac{4}{15}$
6. $\frac{7}{6} \times \frac{1}{5}$
- $7 \times 1 = 7$, $6 \times 5 = 30$ → $\frac{7}{30}$
✔ Answer: $\frac{7}{30}$
7. $\frac{6}{2} \times \frac{1}{5}$
- $6 \times 1 = 6$, $2 \times 5 = 10$ → $\frac{6}{10} = \frac{3}{5}$ (÷2)
✔ Answer: $\frac{3}{5}$
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Row 4:
8. $\frac{8}{6} \times \frac{3}{7}$
- $8 \times 3 = 24$, $6 \times 7 = 42$ → $\frac{24}{42} = \frac{4}{7}$ (÷6)
✔ Answer: $\frac{4}{7}$
9. $\frac{8}{3} \times \frac{2}{6}$
- First, simplify $\frac{2}{6} = \frac{1}{3}$, so $\frac{8}{3} \times \frac{1}{3} = \frac{8}{9}$
OR: $8 \times 2 = 16$, $3 \times 6 = 18$ → $\frac{16}{18} = \frac{8}{9}$
✔ Answer: $\frac{8}{9}$
10. $\frac{4}{3} \times \frac{1}{4}$
- $4 \times 1 = 4$, $3 \times 4 = 12$ → $\frac{4}{12} = \frac{1}{3}$
✔ Answer: $\frac{1}{3}$
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Row 5:
11. $\frac{4}{3} \times \frac{1}{8}$
- $4 \times 1 = 4$, $3 \times 8 = 24$ → $\frac{4}{24} = \frac{1}{6}$
✔ Answer: $\frac{1}{6}$
12. $\frac{9}{8} \times \frac{1}{2}$
- $9 \times 1 = 9$, $8 \times 2 = 16$ → $\frac{9}{16}$
✔ Answer: $\frac{9}{16}$
13. $\frac{10}{9} \times \frac{1}{2}$
- $10 \times 1 = 10$, $9 \times 2 = 18$ → $\frac{10}{18} = \frac{5}{9}$
✔ Answer: $\frac{5}{9}$
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Row 6:
14. $\frac{9}{7} \times \frac{1}{5}$
- $9 \times 1 = 9$, $7 \times 5 = 35$ → $\frac{9}{35}$
✔ Answer: $\frac{9}{35}$
15. $\frac{8}{7} \times \frac{1}{5}$
- $8 \times 1 = 8$, $7 \times 5 = 35$ → $\frac{8}{35}$
✔ Answer: $\frac{8}{35}$
16. $\frac{11}{7} \times \frac{3}{8}$
- $11 \times 3 = 33$, $7 \times 8 = 56$ → $\frac{33}{56}$ (already simplified)
✔ Answer: $\frac{33}{56}$
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Row 7:
17. $\frac{7}{6} \times \frac{2}{4}$
- Simplify $\frac{2}{4} = \frac{1}{2}$, so $\frac{7}{6} \times \frac{1}{2} = \frac{7}{12}$
OR: $7 \times 2 = 14$, $6 \times 4 = 24$ → $\frac{14}{24} = \frac{7}{12}$
✔ Answer: $\frac{7}{12}$
18. $\frac{10}{6} \times \frac{1}{5}$
- Simplify $\frac{10}{6} = \frac{5}{3}$, so $\frac{5}{3} \times \frac{1}{5} = \frac{5}{15} = \frac{1}{3}$
OR: $10 \times 1 = 10$, $6 \times 5 = 30$ → $\frac{10}{30} = \frac{1}{3}$
✔ Answer: $\frac{1}{3}$
19. $\frac{5}{4} \times \frac{1}{5}$
- $5 \times 1 = 5$, $4 \times 5 = 20$ → $\frac{5}{20} = \frac{1}{4}$
✔ Answer: $\frac{1}{4}$
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Row 8:
20. $\frac{5}{3} \times \frac{1}{4}$
- $5 \times 1 = 5$, $3 \times 4 = 12$ → $\frac{5}{12}$
✔ Answer: $\frac{5}{12}$
21. $\frac{8}{4} \times \frac{1}{6}$
- Simplify $\frac{8}{4} = 2$, so $2 \times \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$
OR: $8 \times 1 = 8$, $4 \times 6 = 24$ → $\frac{8}{24} = \frac{1}{3}$
✔ Answer: $\frac{1}{3}$
22. $\frac{5}{2} \times \frac{1}{3}$
- $5 \times 1 = 5$, $2 \times 3 = 6$ → $\frac{5}{6}$
✔ Answer: $\frac{5}{6}$
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## ✔ Final Answers (in order):
1. $\frac{2}{3}$
2. $\frac{3}{4}$
3. $\frac{5}{6}$
4. $\frac{7}{12}$
5. $\frac{4}{15}$
6. $\frac{7}{30}$
7. $\frac{3}{5}$
8. $\frac{4}{7}$
9. $\frac{8}{9}$
10. $\frac{1}{3}$
11. $\frac{1}{6}$
12. $\frac{9}{16}$
13. $\frac{5}{9}$
14. $\frac{9}{35}$
15. $\frac{8}{35}$
16. $\frac{33}{56}$
17. $\frac{7}{12}$
18. $\frac{1}{3}$
19. $\frac{1}{4}$
20. $\frac{5}{12}$
21. $\frac{1}{3}$
22. $\frac{5}{6}$
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You can now fill these in on your worksheet! Let me know if you’d like them formatted for printing or need help with another sheet. 🐔
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How to Multiply Fractions:
1. Multiply the numerators (top numbers) together.
2. Multiply the denominators (bottom numbers) together.
3. Simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD).
4. If the result is an improper fraction (numerator ≥ denominator), convert it to a mixed number.
---
Let’s go row by row:
---
Row 1:
1. $\frac{4}{2} \times \frac{1}{3}$
- Numerator: $4 \times 1 = 4$
- Denominator: $2 \times 3 = 6$
- Result: $\frac{4}{6} = \frac{2}{3}$ (simplified by dividing by 2)
✔ Answer: $\frac{2}{3}$
2. $\frac{9}{3} \times \frac{1}{4}$
- Numerator: $9 \times 1 = 9$
- Denominator: $3 \times 4 = 12$
- Result: $\frac{9}{12} = \frac{3}{4}$ (simplified by dividing by 3)
✔ Answer: $\frac{3}{4}$
---
Row 2:
3. $\frac{5}{3} \times \frac{1}{2}$
- $5 \times 1 = 5$, $3 \times 2 = 6$ → $\frac{5}{6}$
✔ Answer: $\frac{5}{6}$
4. $\frac{7}{4} \times \frac{1}{3}$
- $7 \times 1 = 7$, $4 \times 3 = 12$ → $\frac{7}{12}$
✔ Answer: $\frac{7}{12}$
---
Row 3:
5. $\frac{8}{5} \times \frac{1}{6}$
- $8 \times 1 = 8$, $5 \times 6 = 30$ → $\frac{8}{30} = \frac{4}{15}$ (÷2)
✔ Answer: $\frac{4}{15}$
6. $\frac{7}{6} \times \frac{1}{5}$
- $7 \times 1 = 7$, $6 \times 5 = 30$ → $\frac{7}{30}$
✔ Answer: $\frac{7}{30}$
7. $\frac{6}{2} \times \frac{1}{5}$
- $6 \times 1 = 6$, $2 \times 5 = 10$ → $\frac{6}{10} = \frac{3}{5}$ (÷2)
✔ Answer: $\frac{3}{5}$
---
Row 4:
8. $\frac{8}{6} \times \frac{3}{7}$
- $8 \times 3 = 24$, $6 \times 7 = 42$ → $\frac{24}{42} = \frac{4}{7}$ (÷6)
✔ Answer: $\frac{4}{7}$
9. $\frac{8}{3} \times \frac{2}{6}$
- First, simplify $\frac{2}{6} = \frac{1}{3}$, so $\frac{8}{3} \times \frac{1}{3} = \frac{8}{9}$
OR: $8 \times 2 = 16$, $3 \times 6 = 18$ → $\frac{16}{18} = \frac{8}{9}$
✔ Answer: $\frac{8}{9}$
10. $\frac{4}{3} \times \frac{1}{4}$
- $4 \times 1 = 4$, $3 \times 4 = 12$ → $\frac{4}{12} = \frac{1}{3}$
✔ Answer: $\frac{1}{3}$
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Row 5:
11. $\frac{4}{3} \times \frac{1}{8}$
- $4 \times 1 = 4$, $3 \times 8 = 24$ → $\frac{4}{24} = \frac{1}{6}$
✔ Answer: $\frac{1}{6}$
12. $\frac{9}{8} \times \frac{1}{2}$
- $9 \times 1 = 9$, $8 \times 2 = 16$ → $\frac{9}{16}$
✔ Answer: $\frac{9}{16}$
13. $\frac{10}{9} \times \frac{1}{2}$
- $10 \times 1 = 10$, $9 \times 2 = 18$ → $\frac{10}{18} = \frac{5}{9}$
✔ Answer: $\frac{5}{9}$
---
Row 6:
14. $\frac{9}{7} \times \frac{1}{5}$
- $9 \times 1 = 9$, $7 \times 5 = 35$ → $\frac{9}{35}$
✔ Answer: $\frac{9}{35}$
15. $\frac{8}{7} \times \frac{1}{5}$
- $8 \times 1 = 8$, $7 \times 5 = 35$ → $\frac{8}{35}$
✔ Answer: $\frac{8}{35}$
16. $\frac{11}{7} \times \frac{3}{8}$
- $11 \times 3 = 33$, $7 \times 8 = 56$ → $\frac{33}{56}$ (already simplified)
✔ Answer: $\frac{33}{56}$
---
Row 7:
17. $\frac{7}{6} \times \frac{2}{4}$
- Simplify $\frac{2}{4} = \frac{1}{2}$, so $\frac{7}{6} \times \frac{1}{2} = \frac{7}{12}$
OR: $7 \times 2 = 14$, $6 \times 4 = 24$ → $\frac{14}{24} = \frac{7}{12}$
✔ Answer: $\frac{7}{12}$
18. $\frac{10}{6} \times \frac{1}{5}$
- Simplify $\frac{10}{6} = \frac{5}{3}$, so $\frac{5}{3} \times \frac{1}{5} = \frac{5}{15} = \frac{1}{3}$
OR: $10 \times 1 = 10$, $6 \times 5 = 30$ → $\frac{10}{30} = \frac{1}{3}$
✔ Answer: $\frac{1}{3}$
19. $\frac{5}{4} \times \frac{1}{5}$
- $5 \times 1 = 5$, $4 \times 5 = 20$ → $\frac{5}{20} = \frac{1}{4}$
✔ Answer: $\frac{1}{4}$
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Row 8:
20. $\frac{5}{3} \times \frac{1}{4}$
- $5 \times 1 = 5$, $3 \times 4 = 12$ → $\frac{5}{12}$
✔ Answer: $\frac{5}{12}$
21. $\frac{8}{4} \times \frac{1}{6}$
- Simplify $\frac{8}{4} = 2$, so $2 \times \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$
OR: $8 \times 1 = 8$, $4 \times 6 = 24$ → $\frac{8}{24} = \frac{1}{3}$
✔ Answer: $\frac{1}{3}$
22. $\frac{5}{2} \times \frac{1}{3}$
- $5 \times 1 = 5$, $2 \times 3 = 6$ → $\frac{5}{6}$
✔ Answer: $\frac{5}{6}$
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## ✔ Final Answers (in order):
1. $\frac{2}{3}$
2. $\frac{3}{4}$
3. $\frac{5}{6}$
4. $\frac{7}{12}$
5. $\frac{4}{15}$
6. $\frac{7}{30}$
7. $\frac{3}{5}$
8. $\frac{4}{7}$
9. $\frac{8}{9}$
10. $\frac{1}{3}$
11. $\frac{1}{6}$
12. $\frac{9}{16}$
13. $\frac{5}{9}$
14. $\frac{9}{35}$
15. $\frac{8}{35}$
16. $\frac{33}{56}$
17. $\frac{7}{12}$
18. $\frac{1}{3}$
19. $\frac{1}{4}$
20. $\frac{5}{12}$
21. $\frac{1}{3}$
22. $\frac{5}{6}$
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You can now fill these in on your worksheet! Let me know if you’d like them formatted for printing or need help with another sheet. 🐔
Parent Tip: Review the logic above to help your child master the concept of multiplying improper fractions worksheet.