Division of numbers and remainders worksheets for primary math ... - Free Printable
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Step-by-step solution for: Division of numbers and remainders worksheets for primary math ...
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Show Answer Key & Explanations
Step-by-step solution for: Division of numbers and remainders worksheets for primary math ...
Let’s solve each fraction division problem step by step. Remember: to divide fractions, you multiply by the reciprocal of the second fraction. That means flip the second fraction and then multiply.
Also, simplify your answer if possible — reduce the fraction to its lowest terms.
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We’ll go one by one:
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1. $\frac{3}{6} \div \frac{4}{10}$
→ Flip the second: $\frac{3}{6} \times \frac{10}{4} = \frac{30}{24}$
→ Simplify: divide numerator and denominator by 6 → $\frac{5}{4}$ ✔ (already done in example)
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2. $\frac{8}{7} \div \frac{1}{2}$
→ Flip: $\frac{8}{7} \times \frac{2}{1} = \frac{16}{7}$
→ Already simplified → $\boxed{\frac{16}{7}}$
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3. $\frac{5}{6} \div \frac{2}{3}$
→ Flip: $\frac{5}{6} \times \frac{3}{2} = \frac{15}{12}$
→ Simplify: divide by 3 → $\frac{5}{4}$ → $\boxed{\frac{5}{4}}$
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4. $\frac{7}{9} \div \frac{1}{3}$
→ Flip: $\frac{7}{9} \times \frac{3}{1} = \frac{21}{9}$
→ Simplify: divide by 3 → $\frac{7}{3}$ → $\boxed{\frac{7}{3}}$
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5. $\frac{2}{5} \div \frac{4}{12}$
→ First, simplify $\frac{4}{12}$ to $\frac{1}{3}$? Or just proceed:
$\frac{2}{5} \times \frac{12}{4} = \frac{24}{20}$
→ Simplify: divide by 4 → $\frac{6}{5}$ → $\boxed{\frac{6}{5}}$
*(Note: You could also simplify before multiplying: $\frac{2}{5} \times \frac{12}{4} = \frac{2}{5} \times 3 = \frac{6}{5}$)*
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6. $\frac{3}{5} \div \frac{3}{10}$
→ Flip: $\frac{3}{5} \times \frac{10}{3} = \frac{30}{15} = 2$ → $\boxed{2}$
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7. $\frac{10}{12} \div \frac{3}{4}$
→ Simplify $\frac{10}{12}$ to $\frac{5}{6}$ first? Let’s do it directly:
$\frac{10}{12} \times \frac{4}{3} = \frac{40}{36}$
→ Simplify: divide by 4 → $\frac{10}{9}$ → $\boxed{\frac{10}{9}}$
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8. $\frac{4}{6} \div \frac{1}{12}$
→ Simplify $\frac{4}{6}$ to $\frac{2}{3}$? Or compute:
$\frac{4}{6} \times \frac{12}{1} = \frac{48}{6} = 8$ → $\boxed{8}$
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9. $\frac{7}{7} \div \frac{2}{5}$
→ $\frac{7}{7} = 1$, so $1 \div \frac{2}{5} = 1 \times \frac{5}{2} = \frac{5}{2}$ → $\boxed{\frac{5}{2}}$
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10. $\frac{11}{3} \div \frac{5}{5}$
→ $\frac{5}{5} = 1$, so $\frac{11}{3} \div 1 = \frac{11}{3}$ → $\boxed{\frac{11}{3}}$
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11. $\frac{8}{8} \div \frac{6}{4}$
→ $\frac{8}{8} = 1$, so $1 \div \frac{6}{4} = 1 \times \frac{4}{6} = \frac{4}{6} = \frac{2}{3}$ → $\boxed{\frac{2}{3}}$
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12. $\frac{4}{6} \div \frac{1}{2}$
→ Simplify $\frac{4}{6}$ to $\frac{2}{3}$:
$\frac{2}{3} \times \frac{2}{1} = \frac{4}{3}$ → $\boxed{\frac{4}{3}}$
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13. $\frac{9}{3} \div \frac{3}{8}$
→ $\frac{9}{3} = 3$, so $3 \div \frac{3}{8} = 3 \times \frac{8}{3} = \frac{24}{3} = 8$ → $\boxed{8}$
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14. $\frac{3}{4} \div \frac{1}{3}$
→ Flip: $\frac{3}{4} \times \frac{3}{1} = \frac{9}{4}$ → $\boxed{\frac{9}{4}}$
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15. $\frac{7}{9} \div \frac{3}{7}$
→ Flip: $\frac{7}{9} \times \frac{7}{3} = \frac{49}{27}$ → already simplified → $\boxed{\frac{49}{27}}$
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16. $\frac{3}{4} \div \frac{3}{7}$
→ Flip: $\frac{3}{4} \times \frac{7}{3} = \frac{21}{12}$
→ Simplify: divide by 3 → $\frac{7}{4}$ → $\boxed{\frac{7}{4}}$
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Final Answer:
1. $\frac{5}{4}$
2. $\frac{16}{7}$
3. $\frac{5}{4}$
4. $\frac{7}{3}$
5. $\frac{6}{5}$
6. $2$
7. $\frac{10}{9}$
8. $8$
9. $\frac{5}{2}$
10. $\frac{11}{3}$
11. $\frac{2}{3}$
12. $\frac{4}{3}$
13. $8$
14. $\frac{9}{4}$
15. $\frac{49}{27}$
16. $\frac{7}{4}$
Also, simplify your answer if possible — reduce the fraction to its lowest terms.
---
We’ll go one by one:
---
1. $\frac{3}{6} \div \frac{4}{10}$
→ Flip the second: $\frac{3}{6} \times \frac{10}{4} = \frac{30}{24}$
→ Simplify: divide numerator and denominator by 6 → $\frac{5}{4}$ ✔ (already done in example)
---
2. $\frac{8}{7} \div \frac{1}{2}$
→ Flip: $\frac{8}{7} \times \frac{2}{1} = \frac{16}{7}$
→ Already simplified → $\boxed{\frac{16}{7}}$
---
3. $\frac{5}{6} \div \frac{2}{3}$
→ Flip: $\frac{5}{6} \times \frac{3}{2} = \frac{15}{12}$
→ Simplify: divide by 3 → $\frac{5}{4}$ → $\boxed{\frac{5}{4}}$
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4. $\frac{7}{9} \div \frac{1}{3}$
→ Flip: $\frac{7}{9} \times \frac{3}{1} = \frac{21}{9}$
→ Simplify: divide by 3 → $\frac{7}{3}$ → $\boxed{\frac{7}{3}}$
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5. $\frac{2}{5} \div \frac{4}{12}$
→ First, simplify $\frac{4}{12}$ to $\frac{1}{3}$? Or just proceed:
$\frac{2}{5} \times \frac{12}{4} = \frac{24}{20}$
→ Simplify: divide by 4 → $\frac{6}{5}$ → $\boxed{\frac{6}{5}}$
*(Note: You could also simplify before multiplying: $\frac{2}{5} \times \frac{12}{4} = \frac{2}{5} \times 3 = \frac{6}{5}$)*
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6. $\frac{3}{5} \div \frac{3}{10}$
→ Flip: $\frac{3}{5} \times \frac{10}{3} = \frac{30}{15} = 2$ → $\boxed{2}$
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7. $\frac{10}{12} \div \frac{3}{4}$
→ Simplify $\frac{10}{12}$ to $\frac{5}{6}$ first? Let’s do it directly:
$\frac{10}{12} \times \frac{4}{3} = \frac{40}{36}$
→ Simplify: divide by 4 → $\frac{10}{9}$ → $\boxed{\frac{10}{9}}$
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8. $\frac{4}{6} \div \frac{1}{12}$
→ Simplify $\frac{4}{6}$ to $\frac{2}{3}$? Or compute:
$\frac{4}{6} \times \frac{12}{1} = \frac{48}{6} = 8$ → $\boxed{8}$
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9. $\frac{7}{7} \div \frac{2}{5}$
→ $\frac{7}{7} = 1$, so $1 \div \frac{2}{5} = 1 \times \frac{5}{2} = \frac{5}{2}$ → $\boxed{\frac{5}{2}}$
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10. $\frac{11}{3} \div \frac{5}{5}$
→ $\frac{5}{5} = 1$, so $\frac{11}{3} \div 1 = \frac{11}{3}$ → $\boxed{\frac{11}{3}}$
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11. $\frac{8}{8} \div \frac{6}{4}$
→ $\frac{8}{8} = 1$, so $1 \div \frac{6}{4} = 1 \times \frac{4}{6} = \frac{4}{6} = \frac{2}{3}$ → $\boxed{\frac{2}{3}}$
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12. $\frac{4}{6} \div \frac{1}{2}$
→ Simplify $\frac{4}{6}$ to $\frac{2}{3}$:
$\frac{2}{3} \times \frac{2}{1} = \frac{4}{3}$ → $\boxed{\frac{4}{3}}$
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13. $\frac{9}{3} \div \frac{3}{8}$
→ $\frac{9}{3} = 3$, so $3 \div \frac{3}{8} = 3 \times \frac{8}{3} = \frac{24}{3} = 8$ → $\boxed{8}$
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14. $\frac{3}{4} \div \frac{1}{3}$
→ Flip: $\frac{3}{4} \times \frac{3}{1} = \frac{9}{4}$ → $\boxed{\frac{9}{4}}$
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15. $\frac{7}{9} \div \frac{3}{7}$
→ Flip: $\frac{7}{9} \times \frac{7}{3} = \frac{49}{27}$ → already simplified → $\boxed{\frac{49}{27}}$
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16. $\frac{3}{4} \div \frac{3}{7}$
→ Flip: $\frac{3}{4} \times \frac{7}{3} = \frac{21}{12}$
→ Simplify: divide by 3 → $\frac{7}{4}$ → $\boxed{\frac{7}{4}}$
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Final Answer:
1. $\frac{5}{4}$
2. $\frac{16}{7}$
3. $\frac{5}{4}$
4. $\frac{7}{3}$
5. $\frac{6}{5}$
6. $2$
7. $\frac{10}{9}$
8. $8$
9. $\frac{5}{2}$
10. $\frac{11}{3}$
11. $\frac{2}{3}$
12. $\frac{4}{3}$
13. $8$
14. $\frac{9}{4}$
15. $\frac{49}{27}$
16. $\frac{7}{4}$
Parent Tip: Review the logic above to help your child master the concept of dividing large numbers worksheet.