Question

Fill in the missing numbers in the following equivalent ratios:

$\frac{14}{21}=\frac{\_}{3}=\frac{6}{\_}$

Answer 1

Assume missing terms be $a$ and $b$

$\frac{14}{21}=\frac{a}{3}=\frac{6}{b}$

It can be written as:

$$\begin{gathered} \frac{14}{21}=\frac{a}{3} \\ a=\frac{14\times 3}{21} \\ a=2 \end{gathered}$$

Also,

$$\begin{gathered} \frac{14}{21}=\frac{6}{b} \\ b=\frac{21\times 6}{14} \\ b=9 \end{gathered}$$

Hence, $\frac{14}{21}=\frac{2}{3}=\frac{6}{9}$