Reduce / simplify any fraction to that lowest terms by making use of our portion to the Simplest type Calculator. Find the answer to questions like: What is 76/100 in simplest type or what is 76/100 decreased to the easiest form?


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How to mitigate a fraction

Among different ways simplifying a fraction, us will present the 2 procedure below:

Method 1 - division by a tiny Number when Possible

Start by separating both the numerator and the denomiator of the fraction by the exact same number, and repeat this till it is difficult to divide. Begin dividing by little numbers choose 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 5 will not work, so,Divide both numerator and denominator through 7 to obtain 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7

In the portion 3/7, 3 is just divisible by itself, and 7 is not divisible by various other numbers 보다 itself and 1, so the fraction has been simplified as much as possible. No further reduction is possible, so 42/98 is equal 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 than the absolute value of the bottom number or denomintor (7).

Method 2 - Greatest common Divisor

To alleviate a fraction to lowest state (also referred to as its easiest form), simply divide both the numerator and also denominator by the GCD (Greatest usual Divisor).

For example, 3/4 is in shortest form, however 6/8 is no in lowest type (the GCD of 6 and 8 is 2) and also 6/8 can be composed as 3/4. You deserve to do this since the value of a fraction will stay the same as soon as both the numerator and denominator are separated by the very same number.

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

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

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So, it is ease watch that the "Greatest typical Factor" or "Divisor" is 2 because it is the biggest number which divides same into every one of them.