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How to mitigate a fraction
Among different ways simple a fraction, us will present the 2 procedure below:
Method 1 - divide by a tiny Number once Possible
Start by separating both the numerator and also the denomiator the the fraction by the same number, and repeat this till it is difficult to divide. Begin dividing by small numbers choose 2, 3, 5, 7. Because that example,
Simplify the fraction 42/98First divide both (numerator/denominator) through 2 to get 21/49.Dividing by 3 and 5 will certainly not work, so,Divide both numerator and denominator by 7 to obtain 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7
In the fraction 3/7, 3 is only divisible by itself, and also 7 is no divisible by other numbers than itself and also 1, therefore the fraction has been simplified as much as possible. No more reduction is possible, therefore 42/98 is same to 3/7 when diminished to its shortest terms. This is a PROPER fraction once the absolute value of the optimal 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 fraction to lowest terms (also called its easiest form), simply divide both the numerator and also denominator through the GCD (Greatest typical Divisor).
For example, 3/4 is in lowest form, but 6/8 is not in lowest kind (the GCD that 6 and 8 is 2) and also 6/8 deserve to be composed as 3/4. You can do this due to the fact that the value of a fraction will remain the same once both the numerator and denominator are split by the exact same number.
Note: The Greatest usual Factor (GCF) because that 6 and 8, notation gcf(6,8), is 2. Explanation:Factors of 6 space 1,2,3,6;Factors that 8 room 1,2,4,8.
See more: What Is The Line Of Symmetry For The Parabola Whose Equation Is Y = X2 + 10X + 25?
So, that is ease watch that the "Greatest typical Factor" or "Divisor" is 2 since it is the greatest number i beg your pardon divides evenly into all of them.