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You are watching: 9/100 as a fraction

How to alleviate a fraction

Among different ways simplifying a fraction, us will show the two procedure below:

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

Start by splitting both the numerator and the denomiator of the fraction by the exact same number, and also repeat this until it is difficult to divide. Start dividing by little numbers prefer 2, 3, 5, 7. Because that example,

Simplify the fraction 42/98

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

In the fraction 3/7, 3 is just divisible by itself, and 7 is no divisible by various other numbers than itself and also 1, so the fraction has been simplified as lot as possible. No further reduction is possible, so 42/98 is same to 3/7 when decreased to its shortest terms. This is a PROPER fraction once the absolute worth of the peak number or numerator (3) is smaller than the absolute worth of the bottom number or denomintor (7).

Method 2 - Greatest common Divisor

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

For example, 3/4 is in shortest form, however 6/8 is not in lowest form (the GCD that 6 and 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 continue to be the same when both the numerator and also denominator are split by the same number.

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

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

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