MAT 003-01 - Beginning Algebra - Spring 2006
LEAST COMMON DENOMINATOR
Problem 1: Calculate
 + without
using a calculator. (Factorization tables are OK.)
Solution: First, let's find the least common denominator.
=
=
So, the least common denominator is
 =
 =
 =
Now,
+=
 + =
 + =
 =
=
 =
 =
 =
 .
Alternative solution (seemingly easier, but more work).
+=
 + =
 =
Still wonna do it that way, no calculator allowed? Don't forget
about writing the result in lowest terms!
Problem 2: Calculate
-without
using a calculator. (Factorization tables are OK.)
Solution: First, let's find the least common denominator.
=
=
So, the least common denominator is
=
=
=
Now,
-=
-=
-=
 =
=
 =
 =
 =
 .
|