Question

Mark the correct alternative in each of the following:

The product $3\frac{1}{7}\times 1\frac{5}{6}\times 1\frac{2}{5}\times 1\frac{1}{11}$ is equal to

(a) $5\frac{8}{5}$ (b) $5\frac{4}{5}$ (c) $8\frac{4}{5}$ (d) $7\frac{4}{5}$

Answer 1

$$\begin{gathered} 3\frac{1}{7}\times 1\frac{5}{6}\times 1\frac{2}{5}\times 1\frac{1}{11} \\ =\frac{22}{7}\times \frac{11}{6}\times \frac{7}{5}\times \frac{12}{11} \\ =\frac{22\times 11\times 7\times 12}{7\times 6\times 5\times 11}\left(\frac{a}{b}\times \frac{c}{d}=\frac{a\times c}{b\times d}\right) \\ =\frac{44}{5} \\ =\frac{8\times 5+4}{5} \\ =8\frac{4}{5} \end{gathered}$$

Hence, the correct answer is option (c).