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}{7xy}\end{equation}

3.

Find the LCM of the denominators and simplify the expression.

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

4.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{6}{x^{3}-343}+\frac{6}{x^{2}-49}\end{equation}

5.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{7(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}{16x^{2}}+\frac{1}{24x}+\frac{1}{40x^{3}}\end{equation}

7.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{1}{x^{2}+6x+8}+\frac{1}{(x+4)(x+10)}\end{equation}

8.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{7}{3(x+8)}+\frac{3}{x+8}\end{equation}

9.

Find the LCM of the denominators and simplify the expression.

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

10.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{7}{3x}+\frac{10}{10x}\end{equation}

11.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{x}{3x+3}+\frac{1}{3x+8}\end{equation}

12.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{7}{x^{2}}+\frac{x+6}{x+8}\end{equation}

13.

Find the LCM of the denominators and simplify the expression.

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

14.

Find the LCM of the denominators and simplify the expression.

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

15.

Find the LCM of the denominators and simplify the expression.

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

16.

Find the LCM of the denominators and simplify the expression.

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

17.

Find the LCM of the denominators and simplify the expression.

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

18.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{7x}{x+8}-(\frac{7x}{x+9})\end{equation}

19.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{5}{8x^{3}}-(\frac{6}{24x})\end{equation}

20.

Find the LCM of the denominators and simplify the expression.

\begin{equation}\frac{7}{x^{2}+9x}-(\frac{10}{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+3}{x^{2}-49}-(\frac{1}{49-x^{2}})\end{equation}

23.

Find the LCM of the denominators and simplify the expression.

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