Reduce / simplify any fraction to that is lowest state by using our fraction to the Simplest type Calculator.


Fractions Simplifier

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You are watching: 30/56 in simplest form


How to reduce a fraction

Among different ways simple a fraction, we will present the two procedure below:

Method 1 - divide by a little Number when Possible

Start by separating both the numerator and also the denomiator the the portion by the exact same number, and also repeat this until it is impossible to divide. Start dividing by little numbers choose 2, 3, 5, 7. Because that example,

Simplify the portion 42/98

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

In the fraction 3/7, 3 is just divisible by itself, and 7 is not divisible by various other numbers than itself and 1, therefore the portion has been streamlined as lot as possible. No additional reduction is possible, so 42/98 is same to 3/7 when decreased to its lowest terms. This is a PROPER fraction once the absolute value of the optimal number or molecule (3) is smaller sized than the absolute worth of the bottom number or denomintor (7).

Method 2 - Greatest common Divisor

To alleviate a portion to lowest terms (also referred to as its simplest form), simply divide both the numerator and also denominator through the GCD (Greatest usual Divisor).

For example, 3/4 is in shortest form, however 6/8 is no in lowest form (the GCD that 6 and also 8 is 2) and 6/8 have the right to be written as 3/4. You have the right to do this because the worth of a fraction will remain the same when both the numerator and denominator are separated by the same number.

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

Factors that 6 are 1,2,3,6;Factors that 8 are 1,2,4,8.

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So, that is ease view that the "Greatest usual Factor" or "Divisor" is 2 since it is the best number which divides same into every one of them.