A ratio gives the relationship between two or more values (or) shows the relative size of two or more numbers.

Comparing two quantities of the same units is called a ratio.
A ratio of two quantities can be expressed as a fraction also. For example, the ratio 3:4 can be expressed as $\frac{3}{4}$ and vice versa.

If two given ratios are the same, they are said to be in proportion.

## What is a Ratio?

The magnitude of quantities relative to each other is called the ratio of two quantities. It is usually expressed as “p to q” or “p : q”.

### Examples on Ratios

Given below are some examples on ratios.

Example 1:

If a class of 40 students has 25 boys, then calculate the ratio of boys to girls?

Solution:

Total number of students in the class = 40
The number of boys in the class = 25
The number of girls in the class = 40 – 25 = 15
So, the ratio of ratio of boys to girls = 25 : 15

= 5 : 3

Example 2:

If Kelly runs a mile in 6 minutes 50 seconds and jimmy takes 7 minutes 50 seconds, then calculate the ratio of kelly's time to Jimmy's time?

Solution:

6 minutes 50 seconds = (6 x 60) + 50

= 360 + 50
= 410 seconds.

7 minutes 50 seconds = (7 x 60) + 50
= 420 + 50
=470 seconds.

Ratio of Kelly's time to Jimmy's time = 410 : 470
= 41 : 47

### Proportions

 Similarity Ratio Trigonometry Ratio Ratio of Similar Triangles Sine Cosine and Tangent Ratios Even Number Is the Number 1 a Prime Number Number of Factors of a Number A Counting Number All Fibonacci Numbers All Odd Numbers Binary Number Cardinal Number
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