Question

1. \\(\frac{6}{8} \times \frac{3}{12} =\\) \underline{\qquad}\qquad 2. \\(\frac{1}{2} \times \frac{4}{5} =\\) \underline{\qquad}\
2. \\(\frac{2}{4} \times \frac{7}{8} =\\) \underline{\qquad}\qquad 4. \\(\frac{2}{7} \times \frac{7}{9} =\\) \underline{\qquad}\
3. \\(\frac{4}{10} \times \frac{1}{6} =\\) \underline{\qquad}\qquad 6. \\(\frac{2}{5} \times \frac{1}{4} =\\) \underline{\qquad}\
4. \\(\frac{2}{3} \times \frac{3}{10} =\\) \underline{\qquad}\qquad 8. \\(\frac{8}{10} \times \frac{4}{7} =\\) \underline{\qquad}\
5. \\(\frac{8}{12} \times \frac{1}{5} =\\) \underline{\qquad}\qquad 10. \\(\frac{5}{7} \times \frac{1}{3} =\\) \underline{\qquad}\
6. \\(\frac{4}{5} \times \frac{3}{8} =\\) \underline{\qquad}\qquad 12. \\(\frac{1}{3} \times \frac{2}{6} =\\) \underline{\qquad}\
7. \\(\frac{3}{10} \times \frac{10}{11} =\\) \underline{\qquad}\qquad 14. \\(\frac{1}{6} \times \frac{1}{4} =\\) \underline{\qquad}

Explanation:

Step1: Multiply numerators and denominators, simplify

$\frac{6}{8} \times \frac{3}{12} = \frac{6 \times 3}{8 \times 12} = \frac{18}{96} = \frac{3}{16}$

Step2: Multiply numerators and denominators, simplify

$\frac{1}{2} \times \frac{4}{5} = \frac{1 \times 4}{2 \times 5} = \frac{4}{10} = \frac{2}{5}$

Step3: Multiply numerators and denominators, simplify

$\frac{2}{4} \times \frac{7}{8} = \frac{2 \times 7}{4 \times 8} = \frac{14}{32} = \frac{7}{16}$

Step4: Multiply numerators and denominators, simplify

$\frac{2}{7} \times \frac{7}{9} = \frac{2 \times 7}{7 \times 9} = \frac{14}{63} = \frac{2}{9}$

Step5: Multiply numerators and denominators, simplify

$\frac{4}{10} \times \frac{1}{6} = \frac{4 \times 1}{10 \times 6} = \frac{4}{60} = \frac{1}{15}$

Step6: Multiply numerators and denominators, simplify

$\frac{2}{5} \times \frac{1}{4} = \frac{2 \times 1}{5 \times 4} = \frac{2}{20} = \frac{1}{10}$

Step7: Multiply numerators and denominators, simplify

$\frac{2}{3} \times \frac{3}{10} = \frac{2 \times 3}{3 \times 10} = \frac{6}{30} = \frac{1}{5}$

Step8: Multiply numerators and denominators, simplify

$\frac{8}{10} \times \frac{4}{7} = \frac{8 \times 4}{10 \times 7} = \frac{32}{70} = \frac{16}{35}$

Step9: Multiply numerators and denominators, simplify

$\frac{8}{12} \times \frac{1}{5} = \frac{8 \times 1}{12 \times 5} = \frac{8}{60} = \frac{2}{15}$

Step10: Multiply numerators and denominators, simplify

$\frac{5}{7} \times \frac{1}{3} = \frac{5 \times 1}{7 \times 3} = \frac{5}{21}$

Step11: Multiply numerators and denominators, simplify

$\frac{4}{5} \times \frac{3}{8} = \frac{4 \times 3}{5 \times 8} = \frac{12}{40} = \frac{3}{10}$

Step12: Multiply numerators and denominators, simplify

$\frac{1}{3} \times \frac{2}{6} = \frac{1 \times 2}{3 \times 6} = \frac{2}{18} = \frac{1}{9}$

Step13: Multiply numerators and denominators, simplify

$\frac{3}{10} \times \frac{10}{11} = \frac{3 \times 10}{10 \times 11} = \frac{30}{110} = \frac{3}{11}$

Step14: Multiply numerators and denominators, simplify

$\frac{1}{6} \times \frac{1}{4} = \frac{1 \times 1}{6 \times 4} = \frac{1}{24}$

Answer:

1. $\frac{3}{16}$
2. $\frac{2}{5}$
3. $\frac{7}{16}$
4. $\frac{2}{9}$
5. $\frac{1}{15}$
6. $\frac{1}{10}$
7. $\frac{1}{5}$
8. $\frac{16}{35}$
9. $\frac{2}{15}$
10. $\frac{5}{21}$
11. $\frac{3}{10}$
12. $\frac{1}{9}$
13. $\frac{3}{11}$
14. $\frac{1}{24}$