Reduce / simplify any fraction to the lowest terms by using our fraction to the Simplest type Calculator. Discover the prize to concerns like: What is 70/100 in simplest kind or what is 70/100 decreased to the easiest form?


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How to mitigate a fraction

Among different ways simplifying a fraction, we will display the 2 procedure below:

Method 1 - division by a small Number as soon as Possible

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

Simplify the portion 42/98

First divide both (numerator/denominator) by 2 to acquire 21/49.Dividing by 3 and 5 will certainly not work, so,Divide both numerator and also denominator by 7 to obtain 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 not divisible by various other numbers than itself and also 1, therefore the portion has been streamlined as lot as possible. No additional reduction is possible, therefore 42/98 is same to 3/7 when lessened to its shortest terms. This is a PROPER fraction once the absolute value of the height number or molecule (3) is smaller sized than the absolute value of the bottom number or denomintor (7).

Method 2 - Greatest typical Divisor

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

For example, 3/4 is in shortest form, but 6/8 is not in lowest form (the GCD the 6 and also 8 is 2) and also 6/8 can be written as 3/4. You deserve to do this since the worth of a portion will remain the same when both the numerator and denominator are split by the very same number.

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

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

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So, the is ease watch that the "Greatest typical Factor" or "Divisor" is 2 since it is the greatest number i m sorry divides same into all of them.