Question

Simplify:

(14) $\frac{35}{16}÷\frac{21}{8}$

Answer 1

$$\begin{gathered} \frac{35}{16}÷\frac{21}{8} \\ =\frac{35}{16}\times \frac{8}{21} \\ =\frac{5\times 7}{2\times 8}\times \frac{8}{3\times 7} \\ =\frac{5}{2}\times \frac{1}{3} \\ =\frac{5\times 1}{2\times 3} \\ =\frac{5}{6} \end{gathered}$$