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=(a)/(b)`

The equation is given to be:

`(a)/(3)=(b)/(4)`

Multiply both sides of the equation by 1/b:

`\begin{gathered} (a)/(3)*(1)/(b)=(b)/(4)*(1)/(b) \\ \therefore \\ (a)/(3b)=(1)/(4) \end{gathered}`

Multiply both sides of the equation by 3:

`\begin{gathered} (a)/(3b)*3=(1)/(4)*3 \\ (a)/(b)=(3)/(4) \end{gathered}`

Therefore, the ratio is:

`a\colon b=3\colon4`