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}{9xy}\end{equation}

3.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{(x+4)(x+10)}+\frac{1}{(x+4)(x+10)}\end{equation}

4.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{5}{x^{3}-27}+\frac{5}{x^{2}-9}\end{equation}

5.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{4(x+3y)}+\frac{1}{x^{2}+9y^{2}+6xy}\end{equation}

6.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{4x^{2}}+\frac{1}{6x}+\frac{1}{10x^{3}}\end{equation}

7.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+11x+30}+\frac{1}{(x+5)(x+6)}\end{equation}

8.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{4}{10(x+7)}+\frac{8}{x+7}\end{equation}

9.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{8}+\frac{10x}{5}\end{equation}

10.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{8}{7x}+\frac{10}{8x}\end{equation}

11.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{6x+7}+\frac{1}{7x+10}\end{equation}

12.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{9}{x^{2}}+\frac{x+2}{x+10}\end{equation}

13.

Find the LCM of the denominators and simplify the expression.

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

14.

Find the LCM of the denominators and simplify the expression.

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

15.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6x}{7}-(\frac{5x}{3})\end{equation}

16.

Find the LCM of the denominators and simplify the expression.

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

17.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+10}{x+4}-(\frac{x+5}{x-4})\end{equation}

18.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{9x}{x+7}-(\frac{10x}{x+7})\end{equation}

19.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{5}{4x^{3}}-(\frac{3}{24x})\end{equation}

20.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{3}{x^{2}+6x}-(\frac{8}{x})\end{equation}

21.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+11x+28}-(\frac{1}{x^{2}-16})\end{equation}

22.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x+3}{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}{9(x^{2}+7x)}-(\frac{10}{x^{2}+17x+70})\end{equation}