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How to minimize a fraction
Among various ways simple a fraction, we will display the two procedure below:
Method 1 - division by a little Number when Possible
Start by splitting both the numerator and also the denomiator of the fraction by the exact same number, and also repeat this until it is impossible to divide. Start dividing by tiny numbers prefer 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 5 will certainly not work, so,Divide both numerator and denominator by 7 to obtain 3/7. Note: 21 ÷ 7 = 3 and 49 ÷ 7 = 7
In the fraction 3/7, 3 is just divisible by itself, and 7 is no divisible by various other numbers than itself and 1, so the fraction has been simplified as lot as possible. No more reduction is possible, therefore 42/98 is same to 3/7 when lessened to its lowest terms. This is a PROPER fraction once the absolute worth of the peak number or molecule (3) is smaller sized than the absolute value of the bottom number or denomintor (7).
Method 2 - Greatest usual Divisor
To minimize a portion to lowest terms (also dubbed its most basic form), just divide both the numerator and denominator by the GCD (Greatest common Divisor).
For example, 3/4 is in shortest form, however 6/8 is not in lowest form (the GCD of 6 and 8 is 2) and 6/8 can be created as 3/4. You can do this since the worth of a fraction will continue to be the same once both the numerator and denominator are split by the very same number.
Note: The Greatest typical Factor (GCF) because that 6 and 8, notation gcf(6,8), is 2. Explanation:Factors that 6 space 1,2,3,6;Factors of 8 are 1,2,4,8.
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So, it is ease watch that the "Greatest usual Factor" or "Divisor" is 2 because it is the biggest number i beg your pardon divides evenly into every one of them.