Reduce / simplify any portion to its lowest terms by utilizing our portion to the Simplest type Calculator. Uncover the prize to inquiries like: What is 30/50 in simplest kind or what is 30/50 diminished to the easiest form?
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You are watching: 30/50 in simplest form
How to reduce a fraction
Among different ways simple a fraction, us will display the two procedure below:
Method 1 - divide by a tiny Number as soon as Possible
Start by dividing both the numerator and the denomiator that the fraction by the same number, and repeat this till it is impossible to divide. Begin dividing by little numbers favor 2, 3, 5, 7. For example,
Simplify the portion 42/98First divide both (numerator/denominator) by 2 to get 21/49.Dividing through 3 and 5 will not work, so,Divide both numerator and also denominator by 7 to get 3/7. Note: 21 ÷ 7 = 3 and 49 ÷ 7 = 7
In the portion 3/7, 3 is just divisible through itself, and also 7 is not divisible by various other numbers 보다 itself and 1, therefore the portion has been simplified as much as possible. No more reduction is possible, therefore 42/98 is same to 3/7 when reduced to its shortest terms. This is a PROPER fraction once the absolute worth of the peak number or molecule (3) is smaller than the absolute worth of the bottom number or denomintor (7).
Method 2 - Greatest usual Divisor
To alleviate a fraction to lowest state (also called its easiest form), just divide both the numerator and also denominator by the GCD (Greatest typical Divisor).
For example, 3/4 is in lowest form, yet 6/8 is not in lowest form (the GCD the 6 and also 8 is 2) and 6/8 have the right to be created as 3/4. You have the right to do this since the worth of a portion will remain the same once both the numerator and also denominator are separated by the exact 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 space 1,2,4,8.
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So, that is ease view that the "Greatest usual Factor" or "Divisor" is 2 since it is the best number i beg your pardon divides same into all of them.