Reduce / leveling any fraction to the lowest terms by utilizing our portion to the Simplest kind Calculator.

Fractions Simplifier

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How to reduce a fraction

Among different ways simple a fraction, us will show the two procedure below:

Method 1 - divide by a tiny Number once Possible

Start by dividing both the numerator and also the denomiator of the portion by the very same number, and also repeat this until it is difficult to divide. Start dividing by small numbers like 2, 3, 5, 7. For example,

Simplify the portion 42/98

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

In the fraction 3/7, 3 is only divisible by itself, and also 7 is no divisible by other numbers 보다 itself and 1, so the fraction has been streamlined as much as possible. No further reduction is possible, therefore 42/98 is equal to 3/7 when diminished to its shortest terms. This is a PROPER portion once the absolute worth of the peak number or numerator (3) is smaller sized than the absolute worth of the bottom number or denomintor (7).

Method 2 - Greatest usual Divisor

To mitigate a portion to lowest state (also dubbed its most basic form), just divide both the numerator and denominator through the GCD (Greatest typical Divisor).

For example, 3/4 is in shortest form, however 6/8 is not in lowest kind (the GCD of 6 and also 8 is 2) and 6/8 deserve to be written as 3/4. You deserve to do this due to the fact that the worth of a fraction will stay the same once both the numerator and also denominator are divided by the very same number.

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

Factors the 6 are 1,2,3,6;Factors of 8 are 1,2,4,8.

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So, it is ease watch that the "Greatest common Factor" or "Divisor" is 2 because it is the biggest number i m sorry divides same into every one of them.