Simplest Form

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Simplest form is the simplified form of a given question or equation. Simplifying is a very important and commonly used method in mathematics. Any mathematical equation, algebraic equation, expressions are reduced or simplified to simpler terms so that the answer is well represented. There are many mathematical operations like addition, subtraction, multiplication or division that are used to simplify the given terms or answers in an expression.
 
Example 1: Simplify the fraction 300/600 to its simplest form?

In the given fraction 300 /600, 300 is the numerator and 600 is the denominator.

The fraction can be further simplified.

Factoring the numerator and denominator gives:

300 = 2 * 2 * 3 * 5 * 5
       
600 = 2* 2 * 2 * 3 * 5 * 5

Now when these numbers are written as fractions there are some common factors.

Therefore cancelling the common factors 300 / 600 can be written as 1 /2.

Hence the simplified fraction of 300 /600 is 1/2.
 
Example 2: Simplify the fraction 25 x3/ 5 x2 y to its simplest form?

In the given fraction 25 x3/ 5 x2 y, 25 x3 is the numerator and 5 x2 y is the denominator.

The fraction can be further simplified.

Factoring the numerator and denominator gives:

25 x3 = 5 * 5 * x *x *x        

5 x2 y = 5 * x *x * y

Therefore cancelling the common factors 25 x3/ 5 x2 y can be written as 5x /y.

Hence the simplified form is 5x/y.

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