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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 x
2
is 12x
3
.
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 a
2
- 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:
(2.0K)
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
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