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}{7x^{2}}+\frac{1}{7xy}\end{equation}

3.

Find the LCM of the denominators and simplify the expression.

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

4.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{10}{x^{3}-512}+\frac{10}{x^{2}-64}\end{equation}

5.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{8(x+5y)}+\frac{1}{x^{2}+25y^{2}+10xy}\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}+12x+35}+\frac{1}{(x+5)(x+8)}\end{equation}

8.

Find the LCM of the denominators and simplify the expression.

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

9.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{9}+\frac{6x}{2}\end{equation}

10.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{2}{6x}+\frac{5}{4x}\end{equation}

11.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{8x+5}+\frac{1}{5x+4}\end{equation}

12.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{5}{x^{2}}+\frac{x+10}{x+7}\end{equation}

13.

Find the LCM of the denominators and simplify the expression.

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

14.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6x}{x^{2}+8x}+\frac{x+5}{x+8}\end{equation}

15.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{4x}{6}-(\frac{5x}{3})\end{equation}

16.

Find the LCM of the denominators and simplify the expression.

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

17.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+8}{x+6}-(\frac{x+9}{x-6})\end{equation}

18.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{7x}{x+8}-(\frac{5x}{x+8})\end{equation}

19.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{8}{4x^{3}}-(\frac{10}{20x})\end{equation}

20.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{8}{x^{2}+3x}-(\frac{5}{x})\end{equation}

21.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+11x+24}-(\frac{1}{x^{2}-64})\end{equation}

22.

Find the LCM of the denominators and simplify the expression.

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

23.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{8(x^{2}+10x)}-(\frac{6}{x^{2}+15x+50})\end{equation}