Chapter 6.3, Problem 60SR

To determine

To express: given ration simplest fraction.

Answer to Problem 60SR

  $\frac{2}{5}$

Explanation of Solution

Given information:

Given rate

12 cars out of 30 vehicles.

Concept used:

A ratio is a comparison of two quantities by division. If the first number being compared is less than the second, the ratio is usually written as a fraction in simplest form.

Calculation:

The ratio of 12 cars to 30 vehicles is $\frac{12}{30}$ .

The numerator is 12 and the denominator is 30.

The greatest common factor (G.C.F) of 12 and 30 is 6.

Divide the numerator and Denominator by 6.

  $\frac{12÷6}{30÷6}=\frac{2}{5}$

Hence, the simplest form of the ratio of cars to vehicles is 2 to 5.

This means that for every 2 cars there were 5 vehicles or $\frac{2}{5}$ of the vehicles are cars.