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}{8x^{2}}+\frac{1}{9xy}\end{equation}

3.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{(x+2)(x+9)}+\frac{1}{(x+2)(x+9)}\end{equation}

4.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{3}{x^{3}-125}+\frac{3}{x^{2}-25}\end{equation}

5.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{7(x+8y)}+\frac{1}{x^{2}+64y^{2}+16xy}\end{equation}

6.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{12x^{2}}+\frac{1}{18x}+\frac{1}{30x^{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+6)}\end{equation}

8.

Find the LCM of the denominators and simplify the expression.

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

9.

Find the LCM of the denominators and simplify the expression.

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

10.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{4}{10x}+\frac{8}{10x}\end{equation}

11.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{5x+9}+\frac{1}{9x+4}\end{equation}

12.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{2}{x^{2}}+\frac{x+9}{x+7}\end{equation}

13.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+4}{x+8}+\frac{x+6}{x-8}\end{equation}

14.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6x}{x^{2}+4x}+\frac{x+10}{x+4}\end{equation}

15.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{4x}{8}-(\frac{4x}{8})\end{equation}

16.

Find the LCM of the denominators and simplify the expression.

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

17.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+8}{x+8}-(\frac{x+4}{x-8})\end{equation}

18.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6x}{x+2}-(\frac{4x}{x+10})\end{equation}

19.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{3}{10x^{3}}-(\frac{6}{40x})\end{equation}

20.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{8}{x^{2}+2x}-(\frac{6}{x})\end{equation}

21.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+14x+45}-(\frac{1}{x^{2}-25})\end{equation}

22.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+7}{x^{2}-16}-(\frac{1}{16-x^{2}})\end{equation}

23.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{7(x^{2}+10x)}-(\frac{9}{x^{2}+12x+20})\end{equation}