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You are watching: 31/40 in simplest form
How to alleviate a fraction
Among different ways simplifying a fraction, us will present the two procedure below:
Method 1 - divide by a little Number when Possible
Start by splitting both the numerator and the denomiator the the fraction by the very same number, and also repeat this till it is difficult to divide. Start dividing by tiny numbers choose 2, 3, 5, 7. For example,
Simplify the fraction 42/98First division both (numerator/denominator) by 2 to acquire 21/49.Dividing by 3 and 5 will certainly not work, so,Divide both numerator and also denominator by 7 to obtain 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7
In the portion 3/7, 3 is only divisible through itself, and 7 is no divisible by various other numbers than itself and 1, for this reason the fraction has been simplified as much as possible. No further reduction is possible, so 42/98 is same to 3/7 when reduced to its lowest terms. This is a PROPER portion once the absolute value of the top number or numerator (3) is smaller than the absolute worth of the bottom number or denomintor (7).
Method 2 - Greatest usual Divisor
To minimize a fraction to lowest state (also referred to as its easiest form), just divide both the numerator and also denominator by the GCD (Greatest common Divisor).
For example, 3/4 is in shortest form, however 6/8 is no in lowest form (the GCD of 6 and also 8 is 2) and 6/8 can be composed as 3/4. You can do this due to the fact that the worth of a fraction will continue to be the same when both the numerator and denominator are separated by the very same number.
Note: The Greatest usual Factor (GCF) for 6 and also 8, notation gcf(6,8), is 2. Explanation:Factors that 6 space 1,2,3,6;Factors the 8 space 1,2,4,8.
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So, that is ease watch that the "Greatest typical Factor" or "Divisor" is 2 since it is the biggest number i beg your pardon divides same into all of them.