It's the same process as finding the least common multiple.
Example: 7/30 + 13/42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
Since 210 is the lowest common denominator, we can proceed to add them.
7/30 = 49/210
13/42 = 65/210
7/30 + 13/42 = 114/210 or 19/35 in lowest terms.
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Find the least common denominator.
you find the highest number that goes into both the numerator and the denominatior and divide both by that number.
Find the least common denominator and convert each fraction to its equivalent. Example: 2/3 and 3/4 The least common denominator of 3 and 4 is 12. 2/3 = 8/12 3/4 = 9/12
Find a common denominator.
Note: numerator is the top part of the fraction, denominator is the bottom part. 1) Find a common denominator. It may be the least common denominator, but it need not be; just multiplying the denominators also gives you a common denominator, not necessarily the smallest one. 2) Convert each fraction so that it has this common denominator. This means multiplying numerator and denominator by the same number.