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Printable worksheet for practicing fraction multiplication to the 12ths.

Fraction multiplication problems worksheet with 24 exercises involving fractions up to 12ths.

Fraction multiplication problems worksheet with 24 exercises involving fractions up to 12ths.

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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.

---

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.
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