Reduce / simplify any portion to that lowest terms by making use of our portion to the Simplest form Calculator. Discover the answer to concerns like: What is 12/16 in simplest kind or what is 12/16 reduced to the most basic form?


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How to alleviate a fraction

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

Method 1 - divide by a tiny Number when Possible

Start by splitting both the numerator and also the denomiator the the portion by the exact same number, and repeat this until it is impossible to divide. Begin dividing by small numbers prefer 2, 3, 5, 7. Because that example,

Simplify the portion 42/98

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

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

Method 2 - Greatest typical Divisor

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

For example, 3/4 is in shortest form, however 6/8 is no in lowest kind (the GCD the 6 and also 8 is 2) and 6/8 can be composed as 3/4. You can do this since the value of a fraction will continue to be the same when both the numerator and denominator are separated by the exact same number.

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

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

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So, it is ease watch that the "Greatest typical Factor" or "Divisor" is 2 due to the fact that it is the best number which divides same into all of them.