Asked by: Constanti Gromba
business and finance interest rates

How do you solve the least common denominator?

Last Updated: 15th February, 2020

10
Here are the steps to follow:
  1. Find the Least Common Multiple of thedenominators (which is called the Least CommonDenominator).
  2. Change each fraction (using equivalent fractions) to make theirdenominators the same as the least commondenominator.
  3. Then add (or subtract) the fractions, as we wish!

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Then, what is the easiest way to find the least common denominator?

To find the least common denominator, simply listthe multiples of each denominator (multiply by 2, 3, 4, etc.out to about 6 or seven usually works) then look for thesmallest number that appears in each list. Example: Supposewe wanted to add 1/5 + 1/6 + 1/15. We would find the leastcommon denominator as follows…

One may also ask, how do you find the LCD of 2 fractions? When we add or subtract fractions, theirdenominators need to be same or common. If they are different, weneed to find the LCD (least common denominator) ofthe fractions before we add or subtract. To find theLCD of the fractions, we find the least commonmultiple (LCM) of their denominators.

Likewise, people ask, how do you find the LCD?

Divide the LCD by the originaldenominator. To determine the multiple needed to make thedenominators equal, divide the LCD you determined bythe original denominator. Multiply the numerator and thedenominator of each fraction by this number. The denominatorsshould now both be equal to the LCD.

How do you make denominators the same?

Adding and Subtraction Fractions Back to the first example: Once you find the commondenominator, you multiply the numerator of each fraction by thesame number the denominator was multiplied by. Nowthat the fractions have the same denominator, you canadd them together.

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