Algebra-1 Problems

10.5 Least Common Multiple, Add/Subtract: Unlike Denominators


Problem #

Problem Statement

Problems Similar To

1.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x}+\frac{1}{y}\end{equation}

2.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{9x^{2}}+\frac{1}{3xy}\end{equation}

3.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{(x+3)(x+9)}+\frac{1}{(x+3)(x+5)}\end{equation}

4.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{8}{x^{3}-27}+\frac{8}{x^{2}-9}\end{equation}

5.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{6(x+2y)}+\frac{1}{x^{2}+4y^{2}+4xy}\end{equation}

6.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{8x^{2}}+\frac{1}{12x}+\frac{1}{20x^{3}}\end{equation}

7.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+7x+12}+\frac{1}{(x+3)(x+4)}\end{equation}

8.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{5}{9(x+3)}+\frac{6}{x+3}\end{equation}

9.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{2}+\frac{3x}{3}\end{equation}

10.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{3}{9x}+\frac{9}{9x}\end{equation}

11.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{7x+4}+\frac{1}{4x+4}\end{equation}

12.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6}{x^{2}}+\frac{x+7}{x+4}\end{equation}

13.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+2}{x+6}+\frac{x+2}{x-6}\end{equation}

14.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{5x}{x^{2}+8x}+\frac{x+4}{x+8}\end{equation}

15.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{9x}{2}-(\frac{7x}{5})\end{equation}

16.

Find the LCM of the denominators and simplify the expression.

\begin{equation}3-(\frac{3}{x+2})\end{equation}

17.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+10}{x+2}-(\frac{x+10}{x-2})\end{equation}

18.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{8x}{x+2}-(\frac{9x}{x+2})\end{equation}

19.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6}{4x^{3}}-(\frac{7}{36x})\end{equation}

20.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6}{x^{2}+5x}-(\frac{4}{x})\end{equation}

21.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+8x+12}-(\frac{1}{x^{2}-36})\end{equation}

22.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+2}{x^{2}-81}-(\frac{1}{81-x^{2}})\end{equation}

23.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{3(x^{2}+9x)}-(\frac{6}{x^{2}+13x+36})\end{equation}