# Simplest Form Fraction

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Fraction is usually written in the “p/q” form. Here ‘p’ is the numerator and 'q' is the denominator. The denominator of a fraction cannot be equal to zero i.e. q not equal to zero. Fraction are very commonly used and very important form of representation of numbers. Fraction are included in different equations expressions in numerical and algebraic expressions. Some fractions can be further simplified according to the requirement. Different mathematical operations can be used to simplify and solve a given fraction.

Example 1: Simplify the fraction 300/250 to its simplest form?

In the given fraction 300 /250, 300 is the numerator and 250 is the denominator.

The fraction can be further simplified.

Factoring the numerator and denominator gives:

300 = 2 * 2 * 3 * 5 * 5

250 = 2 * 5 * 5 * 5

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

Therefore cancelling the common factors 300 / 250 can be written as 6 /5.

Hence the simplified fraction of 300 /250 is 6/5.

Example 2: Simplify the fraction 28 / 40 to its simplest form?

In the given fraction 28 /40, 28 is the numerator and 40 is the denominator.

The fraction can be further simplified.

Factoring the numerator and denominator gives.

28 = 2 * 2 * 7

40 = 2 * 2 * 2 * 5

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

Therefore cancelling the common factors 28/ 40 can be written as 7/10.

Hence the simplified fraction of 28/40 is equal to 7/10.