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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Rational Expressions
Finding the Least Common Denominator

Warm-Ups



1

To convert 2/3 into an equivalent fraction with a denominator of 18, we would multiply only the denominator of 2/3 by 6.
A)TRUE
B)FALSE
2

Factoring has nothing to do with finding the least common denominator.
A)TRUE
B)FALSE
3

3/(2ab2) = (15a2b2)/(10a3b4) for any nonzero values of a and b.
A)TRUE
B)FALSE
4

The LCD for the denominators 25· 3 and 24· 32 is 25· 32.
A)TRUE
B)FALSE
5

The LCD for the fractions 1/6 and 1/10 is 60.
A)TRUE
B)FALSE
6

The LCD for the denominators 6a2b and 4ab3 is 2ab.
A)TRUE
B)FALSE
7

The LCD for the denominators a2 + 1 and a + 1 is a2 + 1.
A)TRUE
B)FALSE
8

x/2 = (x + 7)/(2 + 7) for any real number x.
A)TRUE
B)FALSE
9

The LCD for the rational expressions 1/(x - 2) and 3/(x + 2) is x2 - 4.
A)TRUE
B)FALSE
10

x = (3x)/3 for any real number x.
A)TRUE
B)FALSE








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