Free Printable Rational Expressions with Unlike Denominators

1.

Perform the indicated operation and simplify: $\frac{x^2+5x-34}{x^2-9x+8}-\frac{10}{x-8}$

a)

$\frac{x^2-5x-44}{\left(x-8\right)\left(x-1\right)}$

b)

$\frac{x^2-5x-24}{\left(x-8\right)\left(x-1\right)}$

c)

$\frac{x+6}{x-1}$

d)

$\frac{x+3}{x-1}$

2.

Perform the indicated operation and simplify: $\frac{6}{x-7}+\frac{1}{x^2-49}$

a)

$\frac{6x+8}{\left(x+7\right)\left(x-7\right)}$

b)

$\frac{6x-41}{\left(x+7\right)\left(x-7\right)}$

c)

$\frac{6x+43}{\left(x+7\right)\left(x-7\right)}$

d)

$\frac{6x+7}{\left(x+7\right)\left(x-7\right)}$

3.

Perform the indicated operation and simplify: $\frac{x^2-2x}{x^2+3x-10}+\frac{x-5}{x+5}$

a)

$\frac{2x-5}{x+5}$

b)

$\frac{x-4}{x-2}$

c)

$\frac{2x^2-9x+10}{\left(x+5\right)\left(x-2\right)}$

d)

$\frac{2x^2-2x+10}{\left(x+5\right)\left(x-2\right)}$

4.

Perform the indicated operation and simplify: $\frac{1}{x}-\frac{1}{x-3}$

a)

$\frac{2x-3}{x\left(x-3\right)}$

b)

$\frac{1}{3}$

c)

$\frac{1}{x^2}$

d)

$\frac{-3}{x\left(x-3\right)}$

5.

Perform the indicated operation and simplify: $\frac{-3x-9}{x^2+x-6}-\frac{x+3}{2-x}$

a)

$\frac{x}{x-2}$

b)

$\frac{-\left(x+6\right)}{x-2}$

c)

$\frac{x^2+3x}{\left(x+3\right)\left(x-2\right)}$

d)

$\frac{-x^2-9x-18}{\left(x+3\right)\left(x-2\right)}$

6.

Perform the indicated operation and simplify: $\frac{7}{x+2}+\frac{4}{x-5}$

a)

$\frac{11}{\left(x+2\right)\left(x-5\right)}$

b)

$\frac{11x-3}{\left(x+2\right)\left(x-5\right)}$

c)

$\frac{11x-33}{\left(x+2\right)\left(x-5\right)}$

d)

$\frac{11x-27}{\left(x+2\right)\left(x-5\right)}$

7.

Find the least common denominator of the expression

a)

18

b)

6x

c)

3xy

d)

6xy

8.

Add the rational expression.

a)

(6+2y^2) / (6x^2y)

b)

(6y) / (6xy)

c)

(5y)/(3xy)

d)

(6+2y^2) / (6xy)

9.

Subtract the rational expressions.

a)

A

b)

B

c)

C

d)

D

10.

Subtract the rational expressions.

a)

A

b)

B

c)

C

d)

D

Rational Expressions with Unlike Denominators

Total questions: 10

Worksheet time: 34mins

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