This post will discuss some Basics of Ratios. The ratio is used to compare two quantities of the same kind. Consider in a group of 45 people, 15 of whom are females. Let us understand the Basics of Ratios from an example.

### Example of Ratios

We can compare the number of males and the number of females in the group in two different ways,

- There are 15 more males than females in a group of people. We are comparing the number of males and the number of females in the group of people by finding their differences.
- The number of males in a group of people is twice that of females. We are comparing the number of males and the number of females by finding a fraction consisting of the number of males over the number of females. The fraction is $\frac{30}{15}$.

In the second method, the fraction obtained is an example of the ratio.

A ratio may be written with a colon symbol between the numbers. Therefore, the male-female ratio in the group of people can be written as 30:15 or $\frac{30}{15}$. It can be read as the ratio of 30 is to 15, or simply 30 to 15.

In general, the ratio of $a$ to $b$ can be written as $la:b$ or $\frac{a}{b}$, where $a$ and $b$ represent whole numbers and $b$ should not be zero. Since ratio $\frac{30}{15}=\frac{2}{1}$ or $30:15 = 2:1$. the $30:15$ and $2:1$ are called equivalent ratios.

Note that the order in which the ratio is written is important. A ratio has no measurement units. It is only a number that indicates how many times, one quantity is as great as the other. For example, the male to the female ratio of 2:1 means that the number of males is twice the number of females. It can also be interpreted as the female to male of 1:2 or $\frac{1}{2}$ indicates that there are half as many females as males.

### Application of Ratios

Ratios can also be used to compare more than two quantities. For example, three-men A, B, and C share the profit of a business. They receive say 5000, 3000, and 1000, respectively. The ratio of their share of the profit is 5000:3000:1000 or 5:3:1.

One can also find that either there is an increase or decrease in the ratio. For example, say if the number of teachers in a college is increased from 45 to 55, then the ratio “number of present staff” to “number of old staff” (or number of present staff: number of old staff) = $55:45 = 11:9$ or $\frac{\text{no. of present staff}}{\text{no. of old staff}} = \frac{55}{45}=\frac{11}{9}$.

This ratio can be interpreted as the number of teachers has been increased in the ratio 11:9 or $\frac{11}{9}$.

The application of ratios in various fields are:

- Finance (Financial rations, investment analysis)
- Business and Management (inventory management, marketing and sales, and human resources)
- Science and Engineering (Concentration and Ratios in Chemistry, Mixture Ratios, Scale and Proportion
- Everyday Applications (Recipes, Maps and Scales)
- Mathematics (Rates and Unit Costs, Proportions)

Remember, ratios are a versatile tool, and their specific applications can vary depending on the field and situation. However, their core principle of comparing quantities remains constant, making them a valuable asset for anyone seeking to analyze and understand the world around them.