Dividing Fractions Worksheets with Answer Key - Free Printable
Educational worksheet: Dividing Fractions Worksheets with Answer Key. Download and print for classroom or home learning activities.
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Step-by-step solution for: Dividing Fractions Worksheets with Answer Key
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Show Answer Key & Explanations
Step-by-step solution for: Dividing Fractions Worksheets with Answer Key
To divide fractions, you multiply the first fraction by the reciprocal (flip) of the second fraction. Here are the step-by-step solutions for each problem:
1. $\frac{1}{2} \div \frac{3}{4}$
Flip $\frac{3}{4}$ to get $\frac{4}{3}$. Multiply: $\frac{1}{2} \times \frac{4}{3} = \frac{4}{6}$. Simplify by dividing top and bottom by 2: $\frac{2}{3}$
2. $\frac{2}{3} \div \frac{9}{6}$
Flip $\frac{9}{6}$ to get $\frac{6}{9}$. Multiply: $\frac{2}{3} \times \frac{6}{9} = \frac{12}{27}$. Simplify by dividing by 3: $\frac{4}{9}$
3. $\frac{5}{8} \div \frac{6}{4}$
Flip $\frac{6}{4}$ to get $\frac{4}{6}$. Multiply: $\frac{5}{8} \times \frac{4}{6} = \frac{20}{48}$. Simplify by dividing by 4: $\frac{5}{12}$
4. $\frac{9}{12} \div \frac{7}{3}$
Flip $\frac{7}{3}$ to get $\frac{3}{7}$. Multiply: $\frac{9}{12} \times \frac{3}{7} = \frac{27}{84}$. Simplify by dividing by 3: $\frac{9}{28}$
5. $\frac{5}{9} \div \frac{3}{4}$
Flip $\frac{3}{4}$ to get $\frac{4}{3}$. Multiply: $\frac{5}{9} \times \frac{4}{3} = $ $\frac{20}{27}$
6. $\frac{6}{5} \div \frac{7}{10}$
Flip $\frac{7}{10}$ to get $\frac{10}{7}$. Multiply: $\frac{6}{5} \times \frac{10}{7} = \frac{60}{35}$. Simplify by dividing by 5: $\frac{12}{7}$ (or $1 \frac{5}{7}$)
7. $\frac{7}{9} \div \frac{4}{6}$
Flip $\frac{4}{6}$ to get $\frac{6}{4}$. Multiply: $\frac{7}{9} \times \frac{6}{4} = \frac{42}{36}$. Simplify by dividing by 6: $\frac{7}{6}$ (or $1 \frac{1}{6}$)
8. $\frac{14}{9} \div \frac{7}{6}$
Flip $\frac{7}{6}$ to get $\frac{6}{7}$. Multiply: $\frac{14}{9} \times \frac{6}{7} = \frac{84}{63}$. Simplify by dividing by 21: $\frac{4}{3}$ (or $1 \frac{1}{3}$)
9. $\frac{3}{4} \div \frac{1}{4}$
Flip $\frac{1}{4}$ to get $\frac{4}{1}$. Multiply: $\frac{3}{4} \times \frac{4}{1} = \frac{12}{4}$. Simplify: $3$
10. $\frac{15}{4} \div \frac{3}{4}$
Flip $\frac{3}{4}$ to get $\frac{4}{3}$. Multiply: $\frac{15}{4} \times \frac{4}{3} = \frac{60}{12}$. Simplify: $5$
11. $\frac{16}{7} \div \frac{4}{7}$
Flip $\frac{4}{7}$ to get $\frac{7}{4}$. Multiply: $\frac{16}{7} \times \frac{7}{4} = \frac{112}{28}$. Simplify: $4$
12. $\frac{3}{2} \div \frac{2}{9}$
Flip $\frac{2}{9}$ to get $\frac{9}{2}$. Multiply: $\frac{3}{2} \times \frac{9}{2} = $ $\frac{27}{4}$ (or $6 \frac{3}{4}$)
13. $\frac{1}{9} \div \frac{6}{8}$
Flip $\frac{6}{8}$ to get $\frac{8}{6}$. Multiply: $\frac{1}{9} \times \frac{8}{6} = \frac{8}{54}$. Simplify by dividing by 2: $\frac{4}{27}$
14. $\frac{3}{5} \div \frac{9}{10}$
Flip $\frac{9}{10}$ to get $\frac{10}{9}$. Multiply: $\frac{3}{5} \times \frac{10}{9} = \frac{30}{45}$. Simplify by dividing by 15: $\frac{2}{3}$
15. $\frac{2}{3} \div \frac{1}{5}$
Flip $\frac{1}{5}$ to get $\frac{5}{1}$. Multiply: $\frac{2}{3} \times \frac{5}{1} = $ $\frac{10}{3}$ (or $3 \frac{1}{3}$)
16. $\frac{4}{2} \div \frac{10}{3}$
Flip $\frac{10}{3}$ to get $\frac{3}{10}$. Multiply: $\frac{4}{2} \times \frac{3}{10} = \frac{12}{20}$. Simplify by dividing by 4: $\frac{3}{5}$
17. $\frac{5}{12} \div \frac{1}{4}$
Flip $\frac{1}{4}$ to get $\frac{4}{1}$. Multiply: $\frac{5}{12} \times \frac{4}{1} = \frac{20}{12}$. Simplify by dividing by 4: $\frac{5}{3}$ (or $1 \frac{2}{3}$)
18. $\frac{4}{5} \div \frac{2}{3}$
Flip $\frac{2}{3}$ to get $\frac{3}{2}$. Multiply: $\frac{4}{5} \times \frac{3}{2} = \frac{12}{10}$. Simplify by dividing by 2: $\frac{6}{5}$ (or $1 \frac{1}{5}$)
19. $\frac{5}{2} \div \frac{2}{7}$
Flip $\frac{2}{7}$ to get $\frac{7}{2}$. Multiply: $\frac{5}{2} \times \frac{7}{2} = $ $\frac{35}{4}$ (or $8 \frac{3}{4}$)
20. $\frac{7}{8} \div \frac{7}{3}$
Flip $\frac{7}{3}$ to get $\frac{3}{7}$. Multiply: $\frac{7}{8} \times \frac{3}{7} = \frac{21}{56}$. Simplify by dividing by 7: $\frac{3}{8}$
Final Answer:
1. $\frac{2}{3}$
2. $\frac{4}{9}$
3. $\frac{5}{12}$
4. $\frac{9}{28}$
5. $\frac{20}{27}$
6. $\frac{12}{7}$
7. $\frac{7}{6}$
8. $\frac{4}{3}$
9. $3$
10. $5$
11. $4$
12. $\frac{27}{4}$
13. $\frac{4}{27}$
14. $\frac{2}{3}$
15. $\frac{10}{3}$
16. $\frac{3}{5}$
17. $\frac{5}{3}$
18. $\frac{6}{5}$
19. $\frac{35}{4}$
20. $\frac{3}{8}$
1. $\frac{1}{2} \div \frac{3}{4}$
Flip $\frac{3}{4}$ to get $\frac{4}{3}$. Multiply: $\frac{1}{2} \times \frac{4}{3} = \frac{4}{6}$. Simplify by dividing top and bottom by 2: $\frac{2}{3}$
2. $\frac{2}{3} \div \frac{9}{6}$
Flip $\frac{9}{6}$ to get $\frac{6}{9}$. Multiply: $\frac{2}{3} \times \frac{6}{9} = \frac{12}{27}$. Simplify by dividing by 3: $\frac{4}{9}$
3. $\frac{5}{8} \div \frac{6}{4}$
Flip $\frac{6}{4}$ to get $\frac{4}{6}$. Multiply: $\frac{5}{8} \times \frac{4}{6} = \frac{20}{48}$. Simplify by dividing by 4: $\frac{5}{12}$
4. $\frac{9}{12} \div \frac{7}{3}$
Flip $\frac{7}{3}$ to get $\frac{3}{7}$. Multiply: $\frac{9}{12} \times \frac{3}{7} = \frac{27}{84}$. Simplify by dividing by 3: $\frac{9}{28}$
5. $\frac{5}{9} \div \frac{3}{4}$
Flip $\frac{3}{4}$ to get $\frac{4}{3}$. Multiply: $\frac{5}{9} \times \frac{4}{3} = $ $\frac{20}{27}$
6. $\frac{6}{5} \div \frac{7}{10}$
Flip $\frac{7}{10}$ to get $\frac{10}{7}$. Multiply: $\frac{6}{5} \times \frac{10}{7} = \frac{60}{35}$. Simplify by dividing by 5: $\frac{12}{7}$ (or $1 \frac{5}{7}$)
7. $\frac{7}{9} \div \frac{4}{6}$
Flip $\frac{4}{6}$ to get $\frac{6}{4}$. Multiply: $\frac{7}{9} \times \frac{6}{4} = \frac{42}{36}$. Simplify by dividing by 6: $\frac{7}{6}$ (or $1 \frac{1}{6}$)
8. $\frac{14}{9} \div \frac{7}{6}$
Flip $\frac{7}{6}$ to get $\frac{6}{7}$. Multiply: $\frac{14}{9} \times \frac{6}{7} = \frac{84}{63}$. Simplify by dividing by 21: $\frac{4}{3}$ (or $1 \frac{1}{3}$)
9. $\frac{3}{4} \div \frac{1}{4}$
Flip $\frac{1}{4}$ to get $\frac{4}{1}$. Multiply: $\frac{3}{4} \times \frac{4}{1} = \frac{12}{4}$. Simplify: $3$
10. $\frac{15}{4} \div \frac{3}{4}$
Flip $\frac{3}{4}$ to get $\frac{4}{3}$. Multiply: $\frac{15}{4} \times \frac{4}{3} = \frac{60}{12}$. Simplify: $5$
11. $\frac{16}{7} \div \frac{4}{7}$
Flip $\frac{4}{7}$ to get $\frac{7}{4}$. Multiply: $\frac{16}{7} \times \frac{7}{4} = \frac{112}{28}$. Simplify: $4$
12. $\frac{3}{2} \div \frac{2}{9}$
Flip $\frac{2}{9}$ to get $\frac{9}{2}$. Multiply: $\frac{3}{2} \times \frac{9}{2} = $ $\frac{27}{4}$ (or $6 \frac{3}{4}$)
13. $\frac{1}{9} \div \frac{6}{8}$
Flip $\frac{6}{8}$ to get $\frac{8}{6}$. Multiply: $\frac{1}{9} \times \frac{8}{6} = \frac{8}{54}$. Simplify by dividing by 2: $\frac{4}{27}$
14. $\frac{3}{5} \div \frac{9}{10}$
Flip $\frac{9}{10}$ to get $\frac{10}{9}$. Multiply: $\frac{3}{5} \times \frac{10}{9} = \frac{30}{45}$. Simplify by dividing by 15: $\frac{2}{3}$
15. $\frac{2}{3} \div \frac{1}{5}$
Flip $\frac{1}{5}$ to get $\frac{5}{1}$. Multiply: $\frac{2}{3} \times \frac{5}{1} = $ $\frac{10}{3}$ (or $3 \frac{1}{3}$)
16. $\frac{4}{2} \div \frac{10}{3}$
Flip $\frac{10}{3}$ to get $\frac{3}{10}$. Multiply: $\frac{4}{2} \times \frac{3}{10} = \frac{12}{20}$. Simplify by dividing by 4: $\frac{3}{5}$
17. $\frac{5}{12} \div \frac{1}{4}$
Flip $\frac{1}{4}$ to get $\frac{4}{1}$. Multiply: $\frac{5}{12} \times \frac{4}{1} = \frac{20}{12}$. Simplify by dividing by 4: $\frac{5}{3}$ (or $1 \frac{2}{3}$)
18. $\frac{4}{5} \div \frac{2}{3}$
Flip $\frac{2}{3}$ to get $\frac{3}{2}$. Multiply: $\frac{4}{5} \times \frac{3}{2} = \frac{12}{10}$. Simplify by dividing by 2: $\frac{6}{5}$ (or $1 \frac{1}{5}$)
19. $\frac{5}{2} \div \frac{2}{7}$
Flip $\frac{2}{7}$ to get $\frac{7}{2}$. Multiply: $\frac{5}{2} \times \frac{7}{2} = $ $\frac{35}{4}$ (or $8 \frac{3}{4}$)
20. $\frac{7}{8} \div \frac{7}{3}$
Flip $\frac{7}{3}$ to get $\frac{3}{7}$. Multiply: $\frac{7}{8} \times \frac{3}{7} = \frac{21}{56}$. Simplify by dividing by 7: $\frac{3}{8}$
Final Answer:
1. $\frac{2}{3}$
2. $\frac{4}{9}$
3. $\frac{5}{12}$
4. $\frac{9}{28}$
5. $\frac{20}{27}$
6. $\frac{12}{7}$
7. $\frac{7}{6}$
8. $\frac{4}{3}$
9. $3$
10. $5$
11. $4$
12. $\frac{27}{4}$
13. $\frac{4}{27}$
14. $\frac{2}{3}$
15. $\frac{10}{3}$
16. $\frac{3}{5}$
17. $\frac{5}{3}$
18. $\frac{6}{5}$
19. $\frac{35}{4}$
20. $\frac{3}{8}$
Parent Tip: Review the logic above to help your child master the concept of division with fractions worksheet.
