Reduce / simplify any fraction to that is lowest state by making use of our portion to the Simplest kind Calculator.
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You are watching: 15/75 in simplest form
How to minimize a fraction
Among different ways simple a fraction, us will display the two procedure below:
Method 1 - divide by a tiny Number when Possible
Start by splitting both the numerator and also the denomiator the the portion by the same number, and also repeat this until it is impossible to divide. Start dividing by small numbers like 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 not work, so,Divide both numerator and also denominator by 7 to get 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7
In the fraction 3/7, 3 is only divisible through itself, and also 7 is not divisible by various other numbers 보다 itself and 1, for this reason the fraction has been simplified as lot as possible. No more reduction is possible, therefore 42/98 is equal to 3/7 when decreased to its lowest terms. This is a PROPER portion once the absolute value of the optimal number or molecule (3) is smaller sized than the absolute value of the bottom number or denomintor (7).
Method 2 - Greatest usual Divisor
To reduce a portion to lowest state (also dubbed its most basic form), simply divide both the numerator and denominator by the GCD (Greatest usual Divisor).
For example, 3/4 is in lowest form, however 6/8 is no in lowest form (the GCD that 6 and 8 is 2) and 6/8 have the right to be written as 3/4. You have the right to do this due to the fact that the value of a fraction will stay the same as soon as both the numerator and also denominator are separated by the same number.
Note: The Greatest common Factor (GCF) for 6 and 8, notation gcf(6,8), is 2. Explanation:Factors the 6 room 1,2,3,6;Factors of 8 room 1,2,4,8.
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So, the is ease see that the "Greatest usual Factor" or "Divisor" is 2 because it is the biggest number i m sorry divides same into every one of them.