Question

I spend $360 on groceries and $240 on vegetables. what is the ratio of 360 to 240

Answer 1

SOLUTION

A ratio is an ordered pair of numbers a and b, where the raio of a to b is written as a / b where b does not equal 0.

Hence

The ratio of 360 to 240 is given as

$\frac{360}{240}$

reduce to the lowest fraction we have

$\begin{gathered} \frac{360}{240}=\frac{36\times10}{24\times10} \\ \\ \text{divide out the common numbers } \\ \frac{36}{24} \end{gathered}$

Then

$\begin{gathered} \frac{36}{24}=\frac{6\times6}{4\times6}=\frac{6}{4} \\ \text{similarly} \\ \frac{6}{4}=\frac{3\times2}{2\times2}=\frac{3}{2} \end{gathered}$

Hence the ratio of 360 to 240 in the simplest form is 3 to 2