Reduce / simplify any fraction to the lowest terms by utilizing our fraction to the Simplest form Calculator. Discover the answer to inquiries like: What is 13/100 in simplest kind or what is 13/100 diminished to the most basic form?

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How to mitigate a fraction

Among various ways simple a fraction, us will present the two procedure below:

Method 1 - divide by a little Number when Possible

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

Simplify the portion 42/98

First divide both (numerator/denominator) through 2 to acquire 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 fraction 3/7, 3 is just divisible by itself, and also 7 is not divisible by various other numbers than itself and 1, therefore the fraction has been simplified as lot as possible. No further reduction is possible, for this reason 42/98 is equal to 3/7 when diminished to its shortest terms. This is a PROPER fraction once the absolute value of the optimal number or molecule (3) is smaller than the absolute worth of the bottom number or denomintor (7).

Method 2 - Greatest common Divisor

To reduce a portion to lowest terms (also referred to as its easiest form), simply divide both the numerator and also denominator by the GCD (Greatest common Divisor).

For example, 3/4 is in shortest form, however 6/8 is not in lowest form (the GCD the 6 and also 8 is 2) and also 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 continue to be the same as soon as both the numerator and also denominator are split by the exact same number.

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

Factors of 6 space 1,2,3,6;Factors that 8 space 1,2,4,8.

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