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How to minimize a fraction
Among different methods simplifying a fraction, we will show the two procedure below:
Method 1 - Divide by a Small Number When Possible
Start by splitting both the numerator and the denomiator of the fraction by the exact same number, and repeat this until it is difficult to divide. Begin splitting by small numbers favor 2, 3, 5, 7. For example,
Simplify the fraction 42/98First divide both (numerator/denominator) by 2 to acquire 21/49.Dividing by 3 and also 5 will certainly not occupational, so,Divide both numerator and also denominator by 7 to acquire 3/7. Note: 21 ÷ 7 = 3 and also 49 ÷ 7 = 7
In the fractivity 3/7, 3 is just divisible by itself, and 7 is not divisible by other numbers than itself and 1, so the fraction has actually been streamlined as a lot as possible. No further reduction is possible, so 42/98 is equal to 3/7 as soon as diminished to its lowest terms. This is a PROPER FRACTION when the absolute value of the peak 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 terms (additionally dubbed its easiest form), simply divide both the numerator and also denominator by the GCD (Greatest Typical Divisor).
For example, 3/4 is in lowest create, however 6/8 is not in lowest create (the GCD of 6 and also 8 is 2) and also 6/8 can be created as 3/4. You deserve to perform this because the value of a fraction will remajor the exact same when both the numerator and also denominator are divided by the exact same number.
Note: The Greatest Usual Factor (GCF) for 6 and also 8, notation gcf(6,8), is 2. Explanation:Factors of 6 are 1,2,3,6;Factors of 8 are 1,2,4,8.
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So, it is ease check out that the "Greatest Common Factor" or "Divisor" is 2 bereason it is the best number which divides evenly into all of them.