Chapter 7.1, Problem 1WE

To determine

The value of given ratio.

Answer to Problem 1WE

The simplest form is $AB:BC=5:3$

Explanation of Solution

Given information:

The ratio $AB:BC$ is given in the figure,

  

For the given figure, the length of sides AB and BC are 15 and 9

Now, 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

  $\begin{array}{c}\frac{AB}{BC}=\frac{15}{9}\\ =\frac{3\times 5}{3\times 3}\\ =\frac{5}{3}\end{array}$

So,

  $AB:BC=5:3$