Chapter 7.1, Problem 9WE

To determine

The given ratio in simplest form.

Answer to Problem 9WE

The simplest form is $\frac{x}{x+z}=\frac{1}{3}$ .

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 (x+z)

  $\frac{x}{x+z}=\frac{12}{12+24}=\frac{12}{36}$

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

  $\begin{array}{c}\frac{x}{x+z}=\frac{12}{36}\\ =\frac{12\times 1}{12\times 3}\\ =\frac{1}{3}\end{array}$

So,

  $\frac{x}{x+z}=\frac{1}{3}$