Co-Authored By:
Asked by: Constanti Gromba
business and finance interest ratesHow do you solve the least common denominator?
- Find the Least Common Multiple of thedenominators (which is called the Least CommonDenominator).
- Change each fraction (using equivalent fractions) to make theirdenominators the same as the least commondenominator.
- Then add (or subtract) the fractions, as we wish!
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…
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.
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.