Reduce / simplify any fraction to that lowest state by making use of our fraction to the Simplest kind Calculator. Discover the answer to concerns like: What is 30/100 in simplest form or what is 30/100 lessened to the most basic form?
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You are watching: 30 over 100 in simplest form
How to mitigate a fraction
Among different ways simplifying a fraction, we will show the two procedure below:
Method 1 - divide by a small Number when Possible
Start by dividing both the numerator and the denomiator the the portion by the same number, and also repeat this till it is difficult to divide. Start dividing by tiny numbers prefer 2, 3, 5, 7. For example,
Simplify the portion 42/98First divide both (numerator/denominator) through 2 to get 21/49.Dividing by 3 and 5 will not work, so,Divide both numerator and also denominator through 7 to obtain 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7
In the portion 3/7, 3 is only divisible by itself, and also 7 is not divisible by other numbers 보다 itself and 1, therefore the fraction has been streamlined as much as possible. No more 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 typical Divisor
To minimize a portion to lowest terms (also dubbed its most basic form), simply divide both the numerator and denominator through the GCD (Greatest typical Divisor).
For example, 3/4 is in shortest form, but 6/8 is no in lowest kind (the GCD the 6 and also 8 is 2) and also 6/8 can be written as 3/4. You have the right to do this because the value of a fraction will continue to be the same when both the numerator and also denominator are separated by the same number.
Note: The Greatest usual Factor (GCF) because that 6 and also 8, notation gcf(6,8), is 2. Explanation:Factors that 6 space 1,2,3,6;Factors that 8 are 1,2,4,8.
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So, that is ease see that the "Greatest typical Factor" or "Divisor" is 2 due to the fact that it is the best number which divides same into every one of them.