Reduce / simplify any fraction to the lowest state by using our fraction to the Simplest kind Calculator. Find the answer to inquiries like: What is 60/48 in simplest type or what is 60/48 decreased to the easiest form?


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How to reduce a fraction

Among various ways simple a fraction, us will display the 2 procedure below:

Method 1 - divide by a tiny Number once Possible

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

Simplify the fraction 42/98

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

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

Method 2 - Greatest usual Divisor

To minimize a fraction to lowest terms (also dubbed its most basic form), just divide both the numerator and denominator through the GCD (Greatest common Divisor).

For example, 3/4 is in lowest form, but 6/8 is not in lowest type (the GCD of 6 and also 8 is 2) and also 6/8 have the right to be composed as 3/4. You deserve to do this because the value of a fraction will stay the same as soon as both the numerator and denominator are divided 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 are 1,2,3,6;Factors of 8 room 1,2,4,8.

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So, that is ease check out that the "Greatest usual Factor" or "Divisor" is 2 because it is the biggest number i beg your pardon divides evenly into all of them.