Chapter SR6, Problem 1P

Solution

To write the ratio $3\text{}\text{ to 9}$ in simplest form and express the answer in three ways.

  $1\text{ to }3,1:3,\text{or }\frac{1}{3}$

Given:

The ratio, $3\text{}\text{ to 9}$ .

Concept Used:

The ratio of two numbers is obtained by dividing the first number by the second number.

Calculation:

In order to write the ratio $3\text{}\text{ to 9}$ into simplest form, divide the first number by the second number and reduce the fraction in simplest form by cancelling out the common factors from both numbers as shown below

  $\begin{array}{c}3\text{}\text{ to 9}=\frac{3}{9}\\ =\frac{3\cdot 1}{3\cdot 3}\\ =\frac{1}{3}\end{array}$

Thus, the give ratio in simplified form can be expressed as $1\text{ to }3,1:3,\text{or }\frac{1}{3}$ .