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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Rational Expressions
Complex Fractions

Warm-Ups



1

The LCD for the denominators 4, x, 6, and x2 is 12x3.
A)TRUE
B)FALSE
2

The LCD for the denominators a - b, 2b - 2a, and 6 is 6a - 6b.
A)TRUE
B)FALSE
3

The fraction 4117/7983 is a complex fraction.
A)TRUE
B)FALSE
4

The LCD for the denominators a - 3 and 3 - a is a2 - 9.
A)TRUE
B)FALSE
5

The largest common denominator for the fractions 1/2, 1/3, and 1/4 is 24.
A)TRUE
B)FALSE
6

Questions 6–10 refer to the following complex fractions:

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To simplify (a), we multiply the numerator and denominator by 60x.
A)TRUE
B)FALSE
7

To simplify (b), we multiply the numerator and denominator by ab/(ab)
A)TRUE
B)FALSE
8

The complex fraction (c) is equivalent to (2x - 1)/(2x + 3).
A)TRUE
B)FALSE
9

If x ≠ -3/2, then (c) represents a real number.
A)TRUE
B)FALSE
10

The complex fraction (d) can be written as 5/6 ÷ 3/2.
A)TRUE
B)FALSE