Question:

Find the Least Common Denominator of the fractions. Show all work.

1/3

and

3/4

The least common denominator is the Least Common Multiple (LCM) of the divisors 3 and 4. Since these numbers have no common factors, their LCM is

... 3·4 = 12

The least common denominator of your fractions is 12.

... 1/3 = (1/3) · (4/4) = 4/12

... 3/4 = (3/4) · (3/3) = 9/12