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You are watching: 68/100 in simplest form
How to alleviate a fraction
Among different ways simplifying a fraction, we will show the 2 procedure below:
Method 1 - divide by a small Number as soon as Possible
Start by dividing both the numerator and also the denomiator the the portion by the exact same number, and repeat this till it is impossible to divide. Begin dividing by little numbers favor 2, 3, 5, 7. Because that example,
Simplify the fraction 42/98First divide both (numerator/denominator) through 2 to get 21/49.Dividing by 3 and also 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 portion 3/7, 3 is only divisible by itself, and 7 is no divisible by various other numbers than itself and also 1, so the fraction has been simplified as much as possible. No additional reduction is possible, for this reason 42/98 is equal to 3/7 when lessened to its lowest terms. This is a PROPER portion once the absolute value of the peak number or molecule (3) is smaller sized than the absolute worth of the bottom number or denomintor (7).
Method 2 - Greatest usual Divisor
To alleviate a portion to lowest terms (also referred to as its simplest form), simply divide both the numerator and also denominator by the GCD (Greatest common Divisor).
For example, 3/4 is in lowest form, yet 6/8 is not in lowest kind (the GCD of 6 and 8 is 2) and also 6/8 can be composed as 3/4. You have the right to do this because the value of a portion will remain the same when 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 the 8 space 1,2,4,8.
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So, that is ease see that the "Greatest common Factor" or "Divisor" is 2 due to the fact that it is the biggest number which divides evenly into all of them.