Finding Common Denominators
Decide which strategy works best for a given problem:
Strategy 1: Find the LCM of the two denominators, and this will be
your least
common denominator.
For example: a good
common denominator for 1/6 and 1/4 is 12 because
it is the least common multiple of 6 and 4.
Strategy 2: If one of the denominators is a multiple of the other, it
is the
least common denominator.
For example: a common
denominator for 1/2 and 1/4 is 4 because
4 is a multiple of 2.
Strategy 3: If the first two strategies do not work, you can multiply
the
two denominators together to get a common denominator.
For example: the least
common denominator for 1/3 and 1/7 is 21,
which is the sum of the denominators.