Reduce / simplify any portion to its lowest terms by making use of our fraction to the Simplest kind Calculator. Find the price to questions like: What is 18/54 in simplest form or what is 18/54 reduced to the simplest form?

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How to minimize a fraction

Among various ways simplifying a fraction, we will present the two procedure below:

Method 1 - division by a tiny Number when Possible

Start by separating both the numerator and also the denomiator of the portion by the very same number, and also repeat this until it is impossible to divide. Begin dividing by small numbers favor 2, 3, 5, 7. For example,

Simplify the portion 42/98

First division both (numerator/denominator) by 2 to obtain 21/49.Dividing by 3 and also 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 other numbers than itself and also 1, so the portion has been simplified as lot as possible. No additional reduction is possible, so 42/98 is same to 3/7 when diminished to its shortest terms. This is a PROPER portion once the absolute value of the top number or molecule (3) is smaller sized than the absolute value of the bottom number or denomintor (7).

Method 2 - Greatest typical Divisor

To mitigate a portion to lowest terms (also referred to as its simplest form), just 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 type (the GCD of 6 and 8 is 2) and 6/8 deserve to be composed as 3/4. You can do this due to the fact that the value of a portion will remain the same when both the numerator and denominator are split by the exact same number.

Note: The Greatest usual 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 are 1,2,4,8.

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So, it is ease watch that the "Greatest common Factor" or "Divisor" is 2 since it is the greatest number i beg your pardon divides same into every one of them.