A ratio is a comparison of two quantities. The ratio \(\textcolor{colordef}{2}\) to \(\textcolor{colorprop}{3}\) can be expressed as the fraction \(\dfrac{\textcolor{colordef}{2}}{\textcolor{colorprop}{3}}\).
Example
The fraction of red apples to all the apples is \(\dfrac{3}{4}\).
Equivalent Ratios
Method Simplifying Ratios
The fraction of red apples to all apples is \(\dfrac{2}{4}\), which simplifies to \(\dfrac{1}{2}\) (half are red).
Part in Whole-Part Relationships
Method Finding Part in Whole-Part Relationships
To find the number of apples corresponding to \(\dfrac{1}{2}\) of 4 apples:
Draw the fraction:
Count the apples in the colored part: there are 2 apples.