Question

Given the equally find the ratio a:b a/3 = b/4

Answer 1

The ratio a:b can also be written as:

$a\colon b=\frac{a}{b}$

The equation is given to be:

$\frac{a}{3}=\frac{b}{4}$

Multiply both sides of the equation by 1/b:

$\begin{gathered} \frac{a}{3}\times\frac{1}{b}=\frac{b}{4}\times\frac{1}{b} \\ \therefore \\ \frac{a}{3b}=\frac{1}{4} \end{gathered}$

Multiply both sides of the equation by 3:

$\begin{gathered} \frac{a}{3b}\times3=\frac{1}{4}\times3 \\ \frac{a}{b}=\frac{3}{4} \end{gathered}$

Therefore, the ratio is:

$a\colon b=3\colon4$