Ratios

A ratio is a comparison of two quantities. The ratio of \(\textcolor{colordef}{2}\) to \(\textcolor{colorprop}{3}\) can be expressed as the fraction \(\dfrac{\textcolor{colordef}{2}}{\textcolor{colorprop}{3}}\).

The ratio of red apples to all the apples is \(\dfrac{2}{4}\).

The ratio of red apples to all apples is \(\textcolor{colordef}{2}:\textcolor{olive}{4}\), which simplifies to \(\textcolor{colordef}{1}:\textcolor{olive}{2}\) (half are red).

To find the number of apples corresponding to \(\dfrac{1}{2}\) of 4 apples, we start with the whole:

• Divide the whole into 2 equal parts (the denominator) and select 1 part (the numerator):
• Count the apples in the selected part: there are 2 apples.