13 Complex Fractions - practice PDF

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Math 043

Complex Fractions

Complex Fractions When sums and/or differences of rational expressions appear as the numerator and/or denominator of a quotient, the quotient is called a complex rational expression or complex fraction. For example, 1 x 1 1 x 1

and

x2  3 x2  4 x 3 1 x2

are complex fractions. To simplify a complex fraction means to write it as a rational expression reduced to lowest terms. This can be accomplished in either of two ways.

Examples: Simplify each complex fraction. 3 5 11 1) 20

2 15 y 2 8 3 2) 21y

30 z 2 10 z 3)  2

x x 4 1 x 2  4) 2

Math 043

Complex Fractions

1 x 1 8 x 2

5)

6)

x 5 3 + x x

7)

5 3  2 2 a b ab 1 6  2 2 a b ab

8)

1  m 1  m

2 7n 3 4n

1 3  x 4 x 5 2 1  9) x  4 x  5...