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How to minimize a fraction
Among different ways simple a fraction, we will present the two procedure below:
Method 1 - division by a little Number when Possible
Start by separating both the numerator and the denomiator the the fraction by the exact same number, and also repeat this till it is difficult to divide. Start dividing by little numbers prefer 2, 3, 5, 7. For example,
Simplify the portion 42/98First division both (numerator/denominator) through 2 to acquire 21/49.Dividing by 3 and 5 will not work, so,Divide both numerator and also denominator by 7 to gain 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7
In the fraction 3/7, 3 is just divisible through itself, and 7 is no divisible by various other numbers than itself and also 1, therefore the fraction has been simplified as much as possible. No additional reduction is possible, so 42/98 is equal to 3/7 when diminished 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 fraction to lowest state (also referred to as its easiest form), simply divide both the numerator and also denominator by the GCD (Greatest typical Divisor).
For example, 3/4 is in lowest form, but 6/8 is no in lowest kind (the GCD the 6 and 8 is 2) and also 6/8 have the right to be composed as 3/4. You can do this because the worth of a portion will stay 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 also 8, notation gcf(6,8), is 2. Explanation:Factors that 6 space 1,2,3,6;Factors of 8 space 1,2,4,8.
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So, the is ease check out that the "Greatest common Factor" or "Divisor" is 2 since it is the greatest number which divides same into all of them.