Chapter 7.1, Problem 7WE

To determine

The given ratio in simplest form.

Answer to Problem 7WE

The simplest form is $z:x=2:1$

Explanation of Solution

Given information:

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

Now to find the ratio of x and y

  $\frac{z}{x}=\frac{24}{12}$

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

  $\begin{array}{c}\frac{z}{x}=\frac{24}{12}\\ =\frac{12\times 2}{12\times 1}\\ =\frac{2}{1}\end{array}$

So we get

  $z:x=2:1$