Question

Fill in the missing numbers in the following equivalent ratios:

$\frac{15}{18}=\frac{\_}{6}=\frac{10}{\_}=\frac{\_}{30}$

Answer 1

Assume missing terms be $a,b$ and $c$

$\frac{15}{18}=\frac{a}{6}=\frac{10}{b}=\frac{c}{30}$

It can be written as:

$$\begin{gathered} \frac{15}{18}=\frac{a}{6} \\ a=\frac{6\times 15}{18} \\ a=5 \end{gathered}$$

Also,

$$\begin{gathered} \frac{15}{18}=\frac{10}{b} \\ b=\frac{10\times 18}{15} \\ b=12 \end{gathered}$$

and,

$$\begin{gathered} \frac{15}{18}=\frac{c}{30} \\ c=\frac{15\times 30}{18} \\ c=25 \end{gathered}$$

Hence, $\frac{15}{18}=\frac{5}{6}=\frac{10}{12}=\frac{25}{30}$