Printable worksheet for practicing fraction multiplication to the 12ths.
Fraction multiplication problems worksheet with 24 exercises involving fractions up to 12ths.
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Step-by-step solution for: Fraction Multiplications - 6th Grade Math Worksheets | Worsheets library...
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Show Answer Key & Explanations
Step-by-step solution for: Fraction Multiplications - 6th Grade Math Worksheets | Worsheets library...
Let's solve each of these fraction multiplication problems step by step. The general rule for multiplying fractions is:
$$
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
$$
We'll simplify where possible before or after multiplying.
---
1. $\frac{8}{11} \times \frac{5}{6} = \frac{8 \times 5}{11 \times 6} = \frac{40}{66} = \frac{20}{33}$
(Simplify: divide numerator and denominator by 2)
2. $\frac{3}{4} \times \frac{4}{5} = \frac{3 \times 4}{4 \times 5} = \frac{12}{20} = \frac{3}{5}$
(Cancel 4 in numerator and denominator, then simplify)
3. $\frac{1}{9} \times \frac{6}{8} = \frac{1 \times 6}{9 \times 8} = \frac{6}{72} = \frac{1}{12}$
(Simplify: divide by 6)
4. $\frac{1}{5} \times \frac{3}{4} = \frac{3}{20}$
(No simplification needed)
5. $\frac{9}{9} \times \frac{3}{6} = 1 \times \frac{1}{2} = \frac{1}{2}$
($\frac{9}{9} = 1$, $\frac{3}{6} = \frac{1}{2}$)
6. $\frac{1}{5} \times \frac{3}{4} = \frac{3}{20}$
(Same as #4)
7. $\frac{10}{10} \times \frac{2}{2} = 1 \times 1 = 1$
8. $\frac{9}{10} \times \frac{6}{8} = \frac{9 \times 6}{10 \times 8} = \frac{54}{80} = \frac{27}{40}$
(Divide numerator and denominator by 2)
9. $\frac{4}{10} \times \frac{7}{10} = \frac{28}{100} = \frac{7}{25}$
(Simplify: divide by 4)
10. $\frac{2}{6} \times \frac{2}{2} = \frac{1}{3} \times 1 = \frac{1}{3}$
($\frac{2}{6} = \frac{1}{3}$, $\frac{2}{2} = 1$)
---
11. $\frac{2}{2} \times \frac{5}{6} = 1 \times \frac{5}{6} = \frac{5}{6}$
12. $\frac{3}{5} \times \frac{1}{8} = \frac{3}{40}$
13. $\frac{5}{9} \times \frac{1}{8} = \frac{5}{72}$
14. $\frac{8}{10} \times \frac{7}{12} = \frac{4}{5} \times \frac{7}{12} = \frac{28}{60} = \frac{7}{15}$
(Simplify: divide by 4)
15. $\frac{3}{4} \times \frac{3}{5} = \frac{9}{20}$
16. $\frac{3}{4} \times \frac{2}{4} = \frac{6}{16} = \frac{3}{8}$
17. $\frac{2}{5} \times \frac{5}{5} = \frac{2}{5} \times 1 = \frac{2}{5}$
18. $\frac{1}{12} \times \frac{2}{8} = \frac{1}{12} \times \frac{1}{4} = \frac{1}{48}$
19. $\frac{2}{2} \times \frac{2}{6} = 1 \times \frac{1}{3} = \frac{1}{3}$
20. $\frac{6}{10} \times \frac{1}{3} = \frac{3}{5} \times \frac{1}{3} = \frac{3}{15} = \frac{1}{5}$
---
21. $\frac{5}{8} \times \frac{12}{12} = \frac{5}{8} \times 1 = \frac{5}{8}$
22. $\frac{3}{4} \times \frac{2}{2} = \frac{3}{4} \times 1 = \frac{3}{4}$
23. $\frac{2}{2} \times \frac{3}{9} = 1 \times \frac{1}{3} = \frac{1}{3}$
24. $\frac{3}{4} \times \frac{8}{12} = \frac{3}{4} \times \frac{2}{3} = \frac{6}{12} = \frac{1}{2}$
($\frac{8}{12} = \frac{2}{3}$, then cancel 3s)
25. $\frac{7}{10} \times \frac{3}{3} = \frac{7}{10} \times 1 = \frac{7}{10}$
26. $\frac{5}{12} \times \frac{4}{4} = \frac{5}{12} \times 1 = \frac{5}{12}$
27. $\frac{1}{6} \times \frac{3}{8} = \frac{3}{48} = \frac{1}{16}$
28. $\frac{2}{2} \times \frac{6}{7} = 1 \times \frac{6}{7} = \frac{6}{7}$
29. $\frac{2}{12} \times \frac{1}{8} = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}$
30. $\frac{11}{11} \times \frac{1}{3} = 1 \times \frac{1}{3} = \frac{1}{3}$
---
Column 1:
1. $\frac{20}{33}$
2. $\frac{3}{5}$
3. $\frac{1}{12}$
4. $\frac{3}{20}$
5. $\frac{1}{2}$
6. $\frac{3}{20}$
7. $1$
8. $\frac{27}{40}$
9. $\frac{7}{25}$
10. $\frac{1}{3}$
Column 2:
11. $\frac{5}{6}$
12. $\frac{3}{40}$
13. $\frac{5}{72}$
14. $\frac{7}{15}$
15. $\frac{9}{20}$
16. $\frac{3}{8}$
17. $\frac{2}{5}$
18. $\frac{1}{48}$
19. $\frac{1}{3}$
20. $\frac{1}{5}$
Column 3:
21. $\frac{5}{8}$
22. $\frac{3}{4}$
23. $\frac{1}{3}$
24. $\frac{1}{2}$
25. $\frac{7}{10}$
26. $\frac{5}{12}$
27. $\frac{1}{16}$
28. $\frac{6}{7}$
29. $\frac{1}{48}$
30. $\frac{1}{3}$
---
- Always look for simplifications before multiplying (cancel common factors).
- Remember that $\frac{a}{a} = 1$, so any fraction multiplied by a whole number over itself becomes the other fraction.
- Reduce final answers to lowest terms.
Let me know if you'd like this in a printable format or with steps for each!
$$
\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}
$$
We'll simplify where possible before or after multiplying.
---
Column 1
1. $\frac{8}{11} \times \frac{5}{6} = \frac{8 \times 5}{11 \times 6} = \frac{40}{66} = \frac{20}{33}$
(Simplify: divide numerator and denominator by 2)
2. $\frac{3}{4} \times \frac{4}{5} = \frac{3 \times 4}{4 \times 5} = \frac{12}{20} = \frac{3}{5}$
(Cancel 4 in numerator and denominator, then simplify)
3. $\frac{1}{9} \times \frac{6}{8} = \frac{1 \times 6}{9 \times 8} = \frac{6}{72} = \frac{1}{12}$
(Simplify: divide by 6)
4. $\frac{1}{5} \times \frac{3}{4} = \frac{3}{20}$
(No simplification needed)
5. $\frac{9}{9} \times \frac{3}{6} = 1 \times \frac{1}{2} = \frac{1}{2}$
($\frac{9}{9} = 1$, $\frac{3}{6} = \frac{1}{2}$)
6. $\frac{1}{5} \times \frac{3}{4} = \frac{3}{20}$
(Same as #4)
7. $\frac{10}{10} \times \frac{2}{2} = 1 \times 1 = 1$
8. $\frac{9}{10} \times \frac{6}{8} = \frac{9 \times 6}{10 \times 8} = \frac{54}{80} = \frac{27}{40}$
(Divide numerator and denominator by 2)
9. $\frac{4}{10} \times \frac{7}{10} = \frac{28}{100} = \frac{7}{25}$
(Simplify: divide by 4)
10. $\frac{2}{6} \times \frac{2}{2} = \frac{1}{3} \times 1 = \frac{1}{3}$
($\frac{2}{6} = \frac{1}{3}$, $\frac{2}{2} = 1$)
---
Column 2
11. $\frac{2}{2} \times \frac{5}{6} = 1 \times \frac{5}{6} = \frac{5}{6}$
12. $\frac{3}{5} \times \frac{1}{8} = \frac{3}{40}$
13. $\frac{5}{9} \times \frac{1}{8} = \frac{5}{72}$
14. $\frac{8}{10} \times \frac{7}{12} = \frac{4}{5} \times \frac{7}{12} = \frac{28}{60} = \frac{7}{15}$
(Simplify: divide by 4)
15. $\frac{3}{4} \times \frac{3}{5} = \frac{9}{20}$
16. $\frac{3}{4} \times \frac{2}{4} = \frac{6}{16} = \frac{3}{8}$
17. $\frac{2}{5} \times \frac{5}{5} = \frac{2}{5} \times 1 = \frac{2}{5}$
18. $\frac{1}{12} \times \frac{2}{8} = \frac{1}{12} \times \frac{1}{4} = \frac{1}{48}$
19. $\frac{2}{2} \times \frac{2}{6} = 1 \times \frac{1}{3} = \frac{1}{3}$
20. $\frac{6}{10} \times \frac{1}{3} = \frac{3}{5} \times \frac{1}{3} = \frac{3}{15} = \frac{1}{5}$
---
Column 3
21. $\frac{5}{8} \times \frac{12}{12} = \frac{5}{8} \times 1 = \frac{5}{8}$
22. $\frac{3}{4} \times \frac{2}{2} = \frac{3}{4} \times 1 = \frac{3}{4}$
23. $\frac{2}{2} \times \frac{3}{9} = 1 \times \frac{1}{3} = \frac{1}{3}$
24. $\frac{3}{4} \times \frac{8}{12} = \frac{3}{4} \times \frac{2}{3} = \frac{6}{12} = \frac{1}{2}$
($\frac{8}{12} = \frac{2}{3}$, then cancel 3s)
25. $\frac{7}{10} \times \frac{3}{3} = \frac{7}{10} \times 1 = \frac{7}{10}$
26. $\frac{5}{12} \times \frac{4}{4} = \frac{5}{12} \times 1 = \frac{5}{12}$
27. $\frac{1}{6} \times \frac{3}{8} = \frac{3}{48} = \frac{1}{16}$
28. $\frac{2}{2} \times \frac{6}{7} = 1 \times \frac{6}{7} = \frac{6}{7}$
29. $\frac{2}{12} \times \frac{1}{8} = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}$
30. $\frac{11}{11} \times \frac{1}{3} = 1 \times \frac{1}{3} = \frac{1}{3}$
---
✔ Final Answers:
Column 1:
1. $\frac{20}{33}$
2. $\frac{3}{5}$
3. $\frac{1}{12}$
4. $\frac{3}{20}$
5. $\frac{1}{2}$
6. $\frac{3}{20}$
7. $1$
8. $\frac{27}{40}$
9. $\frac{7}{25}$
10. $\frac{1}{3}$
Column 2:
11. $\frac{5}{6}$
12. $\frac{3}{40}$
13. $\frac{5}{72}$
14. $\frac{7}{15}$
15. $\frac{9}{20}$
16. $\frac{3}{8}$
17. $\frac{2}{5}$
18. $\frac{1}{48}$
19. $\frac{1}{3}$
20. $\frac{1}{5}$
Column 3:
21. $\frac{5}{8}$
22. $\frac{3}{4}$
23. $\frac{1}{3}$
24. $\frac{1}{2}$
25. $\frac{7}{10}$
26. $\frac{5}{12}$
27. $\frac{1}{16}$
28. $\frac{6}{7}$
29. $\frac{1}{48}$
30. $\frac{1}{3}$
---
📝 Summary Tips:
- Always look for simplifications before multiplying (cancel common factors).
- Remember that $\frac{a}{a} = 1$, so any fraction multiplied by a whole number over itself becomes the other fraction.
- Reduce final answers to lowest terms.
Let me know if you'd like this in a printable format or with steps for each!
Parent Tip: Review the logic above to help your child master the concept of 6th grade math fractions worksheet.