Question

In each of the following, check whether or not the given ratios form a proportion:​
(i) $8:16$ $\text{and}$ $12:15$​

Answer 1

Given expression can be written as,
$8:16$ $=\frac{8}{16}=\frac{8}{8\times 2}=\frac{1}{2}$

$\text{and}$

$12:15$$=\frac{12}{15}=\frac{4\times 3}{5\times 3}=\frac{4}{5}$

$\therefore$ $8:16\ne 12:15$

Hence, they do not form a proportion.