Chapter 7.1, Problem 13CE

To determine

The given ratio in simplest form.

Answer to Problem 13CE

The simplest form is $IS:DI:IT=2:5:8$

Explanation of Solution

Given information:

The given figure is

  

From the figure shown above

  $\begin{array}{c}DI=10\\ IS=4\\ IT=IS+ST\\ =4+12\\ =16\end{array}$

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

  $\begin{array}{c}\frac{IS}{DI}=\frac{4}{10}\\ =\frac{2\times 2}{5\times 2}\\ =\frac{2}{5}\end{array}$

And

  $\begin{array}{c}\frac{DI}{IT}=\frac{10}{16}\\ =\frac{5\times 2}{8\times 2}\\ =\frac{5}{8}\end{array}$

So,

  $IS:DI:IT=2:5:8$