Chapter 7.1, Problem 12WE

To determine

The given ratio in simplest form.

Answer to Problem 12WE

The simplest form is $x:y:z=6:5:12$ .

Explanation of Solution

Given information:

The given value of $x,yandz$ are $x=12,y=10andz=24$

Now to find the ratio of x: y: z

  $x:y:z=12:10:24$

To write a fraction in simplest form, divide the numerator and denominator with the greatest common divisor.

Therefore, in simplest form it can be written as

  $\begin{array}{c}\frac{x}{y}=\frac{12}{10}\\ =\frac{2\times 6}{2\times 5}\\ =\frac{6}{5}\end{array}$

And

  $\begin{array}{c}\frac{y}{z}=\frac{10}{24}\\ =\frac{2\times 5}{2\times 12}\\ =\frac{5}{12}\end{array}$

Therefore,

  $x:y:z=6:5:12$