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How to minimize a fraction
Among different ways simple a fraction, we will show the 2 procedure below:
Method 1 - division by a small Number once Possible
Start by dividing both the numerator and also the denomiator the the portion by the exact same number, and also repeat this until it is difficult to divide. Begin dividing by small numbers choose 2, 3, 5, 7. For example,
Simplify the fraction 42/98First divide both (numerator/denominator) by 2 to obtain 21/49.Dividing through 3 and also 5 will not work, so,Divide both numerator and denominator by 7 to gain 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7
In the portion 3/7, 3 is only divisible by itself, and also 7 is not divisible by other numbers than itself and also 1, so the portion has been streamlined as lot as possible. No more reduction is possible, so 42/98 is same to 3/7 when reduced to its lowest terms. This is a PROPER portion once the absolute worth of the optimal number or numerator (3) is smaller than the absolute value of the bottom number or denomintor (7).
Method 2 - Greatest typical Divisor
To minimize a portion to lowest state (also dubbed its most basic form), simply divide both the numerator and denominator by the GCD (Greatest common Divisor).
For example, 3/4 is in lowest form, however 6/8 is not in lowest type (the GCD that 6 and also 8 is 2) and also 6/8 have the right to be created as 3/4. You can do this since the value of a portion will remain the same once both the numerator and denominator are separated by the exact same number.
Note: The Greatest common Factor (GCF) because that 6 and also 8, notation gcf(6,8), is 2. Explanation:Factors of 6 are 1,2,3,6;Factors of 8 room 1,2,4,8.
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So, that is ease view that the "Greatest common Factor" or "Divisor" is 2 since it is the best number i beg your pardon divides same into all of them.