# Ratio Calculator

Top
 The ratio is a way of comparing or expressing a relation between two quantities which is measured in same unit. If the ratio of two numbers is 4:1, then we can say that the first number is four times larger than the second number. For example, principle can look in the college, and refer as "ratio of female teacher to male teacher" in a school. If a school has 80 female teacher and 20 male teacher, then the ratio of female and male teacher is 80 to 20. We can also say that the ratio of female teacher to male teacher is 4 to 1.A ratio is a comparison between two numbers and it is described as a fraction. If x and y are any two numbers, then the ratio of x to y is $\frac{x}{y}$ , $(y \neq 0)$.

## How to Calculate Ratio

To simplify the ratio we can make the numbers into smaller ratios so as to compare easily. This can be done by dividing the ratio by same number on each side.

Example: The ratio of girl to boy in a class is 12:16.

Dividing 2 on both 12 and 16 as 2 is the common factor:

$\frac{12}{2}$ = $6$

$\frac{16}{2}$ = $8$

So, 12 : 16 is simplified into 6 : 8.

To see this ratio into simpler way,again divide both 6 and 8 by 2:

$\frac{6}{2}$ = $3$

$\frac{8}{2}$ = $4$

therefore, 6 : 8 is simplified into 3 : 4.

Hence, the ratio of girl to boy in a class is 3 : 4.

## Ratio Examples

### Solved Examples

Question 1: Rahul is making a fruit drink by mixing 300ml of pineapple juice and 600ml of strawberry juice. Write the ratio of pineapple juice to strawberry juice.
Solution:

300 : 600
Dividing 100 on both 300 and 600 as 100 is the common factor:

$\frac{300}{100}$ = 3

$\frac{600}{100}$ = 6

So, 300 : 600 is simplified into 3 : 6.

To see this ratio into simpler way,again divide both 3 and 6 by 3:

$\frac{3}{3}$ = 1

$\frac{6}{3}$ = 2

therefore, 3 : 6 is simplified into 1 : 2.

Question 2: For a cuppcake recipe, mary mixes 250 grams of butter with 750 grams of flour. Write the ratio of butter to flour.
Solution:

250 : 750
Dividing 100 on both 250 and 750 as 100 is the common factor:

$\frac{250}{100}$ = 25

$\frac{750}{100}$ = 75

So, 250 : 750 is simplified into 25 : 75.

To see this ratio into simpler way, again divide both 25 and 75 by 5:

$\frac{25}{5}$ = 5

$\frac{75}{5}$ = 15

therefore, 25 : 75 is simplified into 5 : 15.

We can simlpy further by dividing both by 5:

$\frac{5}{5}$ = 1

$\frac{15}{5}$ = 3

therefore, 5 : 15 is simplified into 1 : 3.