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}{4x^{2}}+\frac{1}{3xy}\end{equation}

3.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{(x+6)(x+4)}+\frac{1}{(x+6)(x+8)}\end{equation}

4.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{10}{x^{3}-216}+\frac{10}{x^{2}-36}\end{equation}

5.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{9(x+6y)}+\frac{1}{x^{2}+36y^{2}+12xy}\end{equation}

6.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{10x^{2}}+\frac{1}{15x}+\frac{1}{25x^{3}}\end{equation}

7.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+11x+28}+\frac{1}{(x+4)(x+4)}\end{equation}

8.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{2}{9(x+2)}+\frac{4}{x+2}\end{equation}

9.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{6}+\frac{10x}{8}\end{equation}

10.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{7}{8x}+\frac{8}{8x}\end{equation}

11.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{5x+6}+\frac{1}{6x+3}\end{equation}

12.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{7}{x^{2}}+\frac{x+4}{x+5}\end{equation}

13.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+5}{x+2}+\frac{x+3}{x-2}\end{equation}

14.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{10x}{x^{2}+5x}+\frac{x+2}{x+5}\end{equation}

15.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6x}{3}-(\frac{2x}{3})\end{equation}

16.

Find the LCM of the denominators and simplify the expression.

\begin{equation}3-(\frac{3}{x+7})\end{equation}

17.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+10}{x+3}-(\frac{x+8}{x-3})\end{equation}

18.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{2x}{x+9}-(\frac{5x}{x+6})\end{equation}

19.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{9}{5x^{3}}-(\frac{8}{20x})\end{equation}

20.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{3}{x^{2}+4x}-(\frac{4}{x})\end{equation}

21.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+17x+70}-(\frac{1}{x^{2}-100})\end{equation}

22.

Find the LCM of the denominators and simplify the expression.

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

23.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{7(x^{2}+8x)}-(\frac{9}{x^{2}+11x+24})\end{equation}