# Ratio Simplifier

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Ratio is the quantitative comparison between quantitates or numbers. Ratio is a very commonly used operation in mathematics. Ratio helps in solving questions related to comparisons, proportions and many more. The symbol of ratio is “:”.  For example, a / b can be written as a : b. Here a / b is fraction form and a:b is the ratio form. The simplification of ratio is writing the given ratio in the most simplified from possible.

Example 1: Are the ratio’s equivalent?

50 students taking Math class and 75 students taking English class.

30 students taking Math class and 45 students taking English class.

Solution: Here for the given question the ratio is between the number of students taking Math class and the number of students taking English class.

The first ratio given is

Number of students Math : English = 50 : 75

Simplifying the ratio gives 2 : 3.

The second ratio given is

Number of students Math : English = 30 : 45

Simplifying the ratio gives 2 : 3.

Therefor the two ratios are equivalent.

Example 2: Simplify the given ratio 48 : 96

Solution: Here the given ratio is 48 : 96.

Here the numbers 48 and 96 are divisible by 2.

Simplifying the ratio gives 24 : 48.

The ratio is further divisible by 3.

Simplifying the ratio gives 8 : 16

The ratio is further divisible by 8.

Simplifying the ratio gives 1 : 2

Hence the simplified form of the given ratio is 1 : 2