Reduce / simplify any portion to that is lowest terms by utilizing our portion to the Simplest type Calculator. Discover the answer to concerns like: What is 16/36 in simplest form or what is 16/36 decreased to the easiest form?


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How to alleviate a fraction

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

Method 1 - divide by a tiny Number once Possible

Start by splitting both the numerator and the denomiator the the fraction by the exact same number, and also repeat this till it is difficult to divide. Start dividing by little numbers prefer 2, 3, 5, 7. For example,

Simplify the fraction 42/98

First divide both (numerator/denominator) by 2 to obtain 21/49.Dividing through 3 and 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 fraction 3/7, 3 is only divisible by itself, and also 7 is no divisible by various other numbers than itself and 1, for this reason the fraction has been streamlined as much as possible. No additional reduction is possible, for this reason 42/98 is same to 3/7 when diminished to its lowest terms. This is a PROPER portion once the absolute value of the peak number or numerator (3) is smaller than the absolute value of the bottom number or denomintor (7).

Method 2 - Greatest typical Divisor

To minimize a fraction to lowest terms (also referred to as its most basic form), just divide both the numerator and denominator by the GCD (Greatest usual Divisor).

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

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

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

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So, that is ease see that the "Greatest usual Factor" or "Divisor" is 2 since it is the greatest number which divides evenly into all of them.