Question

Express the ratio $45:108$ in its simplest form.

Answer 1

In order to express the given ratio in its simplest form we divide its first and second term by their HCF

We have $45=3\times 3\times 5$ and $108=2\times 2\times 3\times 3\times 3$

So, HCF of $45$ and $108$ is $3\times 3=9$

$\therefore 45:108=\frac{45}{108}=\frac{45÷9}{108÷9}=\frac{5}{12}=5:12$