Reduce / simplify any portion to that lowest terms by making use of our fraction to the Simplest kind Calculator. Uncover the prize to inquiries like: What is 9/24 in simplest form or what is 9/24 diminished to the easiest form?
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You are watching: 9/24 in simplest form
How to alleviate a fraction
Among different ways simple a fraction, us will present the 2 procedure below:
Method 1 - division by a little Number as soon as Possible
Start by dividing both the numerator and also the denomiator of the portion by the very same number, and also repeat this till it is difficult to divide. Start dividing by small numbers choose 2, 3, 5, 7. For example,
Simplify the fraction 42/98First division both (numerator/denominator) by 2 to gain 21/49.Dividing by 3 and 5 will not work, so,Divide both numerator and also denominator through 7 to gain 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7
In the portion 3/7, 3 is just divisible by itself, and 7 is not divisible by other numbers than itself and also 1, therefore the fraction has been streamlined as much as possible. No additional reduction is possible, so 42/98 is same to 3/7 when diminished to its shortest terms. This is a PROPER fraction once the absolute value of the top number or numerator (3) is smaller sized than the absolute worth of the bottom number or denomintor (7).
Method 2 - Greatest typical Divisor
To reduce a portion to lowest state (also referred to as its most basic form), simply divide both the numerator and denominator by the GCD (Greatest typical Divisor).
For example, 3/4 is in shortest form, yet 6/8 is not in lowest kind (the GCD of 6 and also 8 is 2) and 6/8 can be written as 3/4. You can do this since the value of a portion will remain the same as soon as both the numerator and also denominator are divided by the exact same number.
Note: The Greatest usual Factor (GCF) because that 6 and 8, notation gcf(6,8), is 2. Explanation:Factors that 6 room 1,2,3,6;Factors of 8 are 1,2,4,8.
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So, that is ease see that the "Greatest typical Factor" or "Divisor" is 2 since it is the greatest number i beg your pardon divides evenly into every one of them.