# A company employs 26 men and 45 women. What is the ratio of men to women at the company?

## Question:

A company employs {eq}26 {/eq} men and {eq}45 {/eq} women.

What is the ratio of men to women at the company?

## Ratio:

A ratio shows the relative comparison of two or more quantities. A ratio {eq}a:b {/eq} can be written as a fraction {eq}\dfrac{a}{b} {/eq} and in turn, a fraction {eq}\dfrac{a}{b} {/eq} can be written as a ratio {eq}a:b {/eq}.

The number of men = {eq}26 {/eq}.

The number of women = {eq}45 {/eq}.

The required ratio is:

$$\dfrac{ \text{Number of men}}{ \text{Number of women }}= \dfrac{26}{45}$$

This fraction cannot be simplified any further as there is no number that can divide both {eq}26 {/eq} and {eq}45 {/eq}.

Therefore, the required ratio is: {eq}\color{blue}{\boxed{\mathbf{26:45}}} {/eq}.