Reduce / simplify any fraction to the lowest state by utilizing our portion to the Simplest type Calculator. Discover the price to questions like: What is 14/21 in simplest kind or what is 14/21 lessened to the simplest form?
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You are watching: 14 over 21 in simplest form
How to mitigate a fraction
Among different ways simplifying a fraction, we will show the 2 procedure below:
Method 1 - divide by a tiny Number when Possible
Start by dividing both the numerator and also the denomiator of the fraction by the same number, and also repeat this till it is impossible to divide. Begin dividing by small numbers choose 2, 3, 5, 7. Because that example,
Simplify the portion 42/98First 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 get 3/7. Note: 21 ÷ 7 = 3 and 49 ÷ 7 = 7
In the portion 3/7, 3 is only divisible by itself, and 7 is not divisible by various other numbers than itself and also 1, therefore the portion has been streamlined as lot as possible. No additional reduction is possible, therefore 42/98 is same to 3/7 when diminished to its shortest terms. This is a PROPER portion once the absolute worth of the peak number or numerator (3) is smaller than the absolute value of the bottom number or denomintor (7).
Method 2 - Greatest usual Divisor
To minimize a portion to lowest terms (also dubbed its simplest form), simply divide both the numerator and also denominator by the GCD (Greatest usual Divisor).
For example, 3/4 is in lowest form, however 6/8 is no in lowest type (the GCD that 6 and 8 is 2) and also 6/8 deserve to be created as 3/4. You have the right to do this due to the fact that the worth of a fraction will remain the same as soon as both the numerator and also denominator are split by the same number.
Note: The Greatest common Factor (GCF) for 6 and 8, notation gcf(6,8), is 2. Explanation:Factors that 6 room 1,2,3,6;Factors that 8 space 1,2,4,8.
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So, that is ease view that the \"Greatest common Factor\" or \"Divisor\" is 2 due to the fact that it is the greatest number which divides evenly into every one of them.