Least Common Denominator

Practice Questions

Algebra II › Least Common Denominator

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1

Simplify the expression:

$\frac{5}{x+ 6} + \frac{2}{x^{2}+ 4x-12}$

2

$\frac{(x^{2}-1x-6)}{x+3}+\frac{(x^{2}-6x+9)}{x+2}$

What is the least common denominator of the above expression?

3

Find the least common denominator of the following fractions:

$\frac{6}{7} , \frac{4}{3} , \frac{5}{9}$

4

What is the least common denominator needed to continue with the following problem?

$\frac{2}{x+2}-\frac{3}{x-3}$

5

What is the least common denominator of the following fractions?

$\frac{7}{19} , \frac{3}{5}$

6

Find the least common denominator for $\frac{x^2-2x-1}{x+8}$ and $\frac{x^3-2x-2}{x-9}$

7

Determine the least common denominator: $\frac{1}{9-x}+\frac{2}{9-2x}$

8

Determine the least common denominator: $\frac{5}{9x^2}-\frac{5}{3x^3}$

9

Find the least common denominator of $\frac{x-2}{x-1}$ and $\frac{3}{x+9}$ .

10

Find the least common denominator between $\frac{x^2-2x-3}{x^2-5x+6}$ and $\frac{x^2+x-12}{x^2+2x-8}$ .

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