Question

grade 6 fraction worksheet
find the product

1. $6\frac{8}{9} \times 12\frac{1}{7} =$
2. $4\frac{3}{8} \times 11\frac{7}{12} =$
3. $3\frac{3}{5} \times 1\frac{1}{2} =$
4. $\frac{7}{9} \times 6\frac{2}{5} =$
5. $\frac{4}{5} \times 6\frac{3}{4} =$
6. $\frac{4}{10} \times 4\frac{1}{3} =$
7. $\frac{4}{8} \times \frac{43}{7} =$
8. $\frac{4}{12} \times \frac{19}{3} =$
9. $\frac{2}{5} \times \frac{15}{4} =$
10. $\frac{1}{4} \times 9 =$
11. $\frac{8}{11} \times 6 =$
12. $\frac{8}{9} \times 11 =$
13. $7\frac{8}{11} \times 6 =$
14. $2\frac{1}{2} \times 8 =$
15. $7\frac{3}{6} \times 5 =$
16. $6 \times 2 =$
17. $15 \times 2 =$
18. $9 \times 14 =$

Explanation:

Problem 1: \( 6\frac{8}{9} \times 12\frac{1}{7} \)

Step 1: Convert mixed numbers to improper fractions

\( 6\frac{8}{9}=\frac{6\times9 + 8}{9}=\frac{54+8}{9}=\frac{62}{9} \)
\( 12\frac{1}{7}=\frac{12\times7+1}{7}=\frac{84 + 1}{7}=\frac{85}{7} \)

Step 2: Multiply the improper fractions

\( \frac{62}{9}\times\frac{85}{7}=\frac{62\times85}{9\times7}=\frac{5270}{63}=83\frac{41}{63} \)

Step 1: Convert mixed numbers to improper fractions

\( 4\frac{3}{8}=\frac{4\times8+3}{8}=\frac{32 + 3}{8}=\frac{35}{8} \)
\( 11\frac{7}{12}=\frac{11\times12+7}{12}=\frac{132+7}{12}=\frac{139}{12} \)

Step 2: Multiply the improper fractions

\( \frac{35}{8}\times\frac{139}{12}=\frac{35\times139}{8\times12}=\frac{4865}{96}=50\frac{65}{96} \)

Step 1: Convert mixed numbers to improper fractions

\( 3\frac{3}{5}=\frac{3\times5+3}{5}=\frac{15 + 3}{5}=\frac{18}{5} \)
\( 1\frac{1}{3}=\frac{1\times3+1}{3}=\frac{3+1}{3}=\frac{4}{3} \)

Step 2: Multiply the improper fractions

\( \frac{18}{5}\times\frac{4}{3}=\frac{18\times4}{5\times3}=\frac{72}{15}=\frac{24}{5}=4\frac{4}{5} \)

Answer:

\( 83\frac{41}{63} \)

Problem 2: \( 4\frac{3}{8} \times 11\frac{7}{12} \)