Chapter 7.1, Problem 10WE

To determine

The given ratio in simplest form.

Answer to Problem 10WE

The simplest form is $\frac{x+y}{z+y}=\frac{11}{17}$

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) and (z+y)

  $\begin{array}{c}\frac{x+y}{z+y}=\frac{12+10}{24+10}\\ =\frac{22}{34}\end{array}$

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

  $\begin{array}{c}\frac{x+y}{z+y}=\frac{22}{34}\\ =\frac{2\times 11}{2\times 17}\\ =\frac{11}{17}\end{array}$

So we get

  $\frac{x+y}{z+y}=\frac{11}{17}$