Reduce / simplify any portion to that lowest terms by utilizing our portion to the Simplest form Calculator. Uncover the answer to inquiries like: simplify 4/100 or what is 4/100 reduced to the easiest form?
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How to minimize a fraction
Among different ways simplifying a fraction, we will show the two procedure below:
Method 1 - divide by a tiny Number when Possible
Start by splitting both the numerator and the denomiator that the fraction by the same number, and repeat this until it is difficult to divide. Start dividing by small numbers favor 2, 3, 5, 7. For example,
Simplify the fraction 42/98First division both (numerator/denominator) by 2 to obtain 21/49.Dividing by 3 and 5 will not work, so,Divide both numerator and also denominator by 7 to acquire 3/7. Note: 21 ÷ 7 = 3 and 49 ÷ 7 = 7
In the fraction 3/7, 3 is only divisible by itself, and 7 is not divisible by other numbers than itself and also 1, so the fraction has been simplified as lot as possible. No further reduction is possible, so 42/98 is equal to 3/7 when decreased to its shortest terms. This is a PROPER portion once the absolute worth of the height number or molecule (3) is smaller than the absolute value of the bottom number or denomintor (7).
Method 2 - Greatest usual Divisor
To mitigate a portion to lowest state (also dubbed its easiest form), simply divide both the numerator and denominator through the GCD (Greatest usual Divisor).
For example, 3/4 is in shortest form, but 6/8 is not in lowest type (the GCD of 6 and 8 is 2) and also 6/8 deserve to be written as 3/4. You deserve to do this because the value of a portion will stay the same once both the numerator and also denominator are divided by the same number.
Note: The Greatest usual Factor (GCF) for 6 and 8, notation gcf(6,8), is 2. Explanation:Factors the 6 space 1,2,3,6;Factors the 8 space 1,2,4,8.
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So, the is ease watch that the "Greatest typical Factor" or "Divisor" is 2 since it is the biggest number which divides evenly into every one of them.