Chapter SR6, Problem 7P

Solution

To write the ratio $4\text{}\text{ to 4}$ in simplest form and express the answer in three ways.

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

Given:

The ratio, $4\text{}\text{ to 4}$ .

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 $4\text{}\text{ to 4}$ 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

  $\begin{array}{c}4\text{}\text{ to 4}=\frac{4}{4}\\ =\frac{4\cdot 1}{4\cdot 1}\\ =\frac{1}{1}\end{array}$

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