Reduce / simplify any fraction to the lowest state by using our fraction to the Simplest form Calculator. Discover the prize to concerns like: What is 30/42 in simplest form or what is 30/42 decreased to the most basic form?
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You are watching: 30/42 in simplest form
How to reduce a fraction
Among various ways simplifying a fraction, we will show the 2 procedure below:
Method 1 - division by a small Number as soon as Possible
Start by dividing both the numerator and also the denomiator the the portion by the very same number, and repeat this until it is impossible to divide. Start dividing by tiny numbers choose 2, 3, 5, 7. For example,
Simplify the portion 42/98First divide both (numerator/denominator) through 2 to gain 21/49.Dividing by 3 and also 5 will certainly not work, so,Divide both numerator and also denominator through 7 to get 3/7. Note: 21 ÷ 7 = 3 and 49 ÷ 7 = 7
In the fraction 3/7, 3 is only divisible by itself, and also 7 is no divisible by various other numbers than itself and 1, so the portion has been simplified as much as possible. No additional reduction is possible, therefore 42/98 is same to 3/7 when decreased to its lowest terms. This is a PROPER fraction once the absolute worth of the top number or molecule (3) is smaller than the absolute worth of the bottom number or denomintor (7).
Method 2 - Greatest usual Divisor
To minimize a portion to lowest state (also dubbed its simplest form), simply divide both the numerator and also denominator through the GCD (Greatest common Divisor).
For example, 3/4 is in lowest form, but 6/8 is not in lowest type (the GCD the 6 and 8 is 2) and 6/8 deserve to be created as 3/4. You can do this because the worth of a fraction will remain the same once both the numerator and denominator are separated by the same number.
Note: The Greatest typical Factor (GCF) because that 6 and 8, notation gcf(6,8), is 2. Explanation:Factors that 6 are 1,2,3,6;Factors the 8 are 1,2,4,8.
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So, the is ease watch that the "Greatest typical Factor" or "Divisor" is 2 due to the fact that it is the greatest number i beg your pardon divides evenly into all of them.