Reduce / leveling any portion to that is lowest state by using our fraction to the Simplest kind Calculator.

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You are watching: 13/52 in simplest form

How to minimize a fraction

Among various ways simple a fraction, we will present the 2 procedure below:

Method 1 - division by a tiny Number once Possible

Start by splitting both the numerator and also the denomiator of the portion by the same number, and also repeat this till it is impossible to divide. Start dividing by tiny numbers choose 2, 3, 5, 7. Because that example,

Simplify the portion 42/98

First division both (numerator/denominator) by 2 to obtain 21/49.Dividing by 3 and also 5 will not work, so,Divide both numerator and also denominator by 7 to gain 3/7. Note: 21 ÷ 7 = 3 and 49 ÷ 7 = 7

In the portion 3/7, 3 is only divisible by itself, and 7 is no divisible by other numbers 보다 itself and also 1, so the portion has been simplified as much as possible. No additional reduction is possible, so 42/98 is same to 3/7 when decreased to its lowest terms. This is a PROPER portion once the absolute value of the optimal number or molecule (3) is smaller than the absolute value of the bottom number or denomintor (7).

Method 2 - Greatest common Divisor

To mitigate a fraction to lowest state (also called its simplest form), simply divide both the numerator and also denominator through the GCD (Greatest usual Divisor).

For example, 3/4 is in shortest form, yet 6/8 is no in lowest type (the GCD of 6 and also 8 is 2) and 6/8 can be written as 3/4. You deserve to do this since the worth of a portion will stay the same once both the numerator and also denominator are split by the exact same number.

Note: The Greatest usual Factor (GCF) for 6 and 8, notation gcf(6,8), is 2. Explanation:

Factors the 6 room 1,2,3,6;Factors the 8 room 1,2,4,8.

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So, that is ease check out that the "Greatest typical Factor" or "Divisor" is 2 since it is the best number i beg your pardon divides evenly into every one of them.