Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{5x}{5}}{\frac{20x}{20}}\end{equation}

2.

Simplify the quotient.

\begin{equation}\frac{\frac{4(6+x)}{7x}}{\frac{x+6}{x}}\end{equation}

3.

Simplify the quotient.

\begin{equation}\frac{\frac{4x+1}{2x+1}}{\frac{2x+1}{7x+1}}\end{equation}

4.

Simplify the quotient.

\begin{equation}\frac{\frac{x^{2}+8x+16}{x+2}}{\frac{x+4}{x^{2}+4x+4}}\end{equation}

5.

Simplify the quotient.

\begin{equation}\frac{2(9x^{3}+10x^{2}+6x)}{2x}\end{equation}

6.

Simplify the quotient.

\begin{equation}\frac{7x^{2}+70+59x}{x+7}\end{equation}

7.

Simplify the quotient.

\begin{equation}\frac{2(6x^{2}+64x+40)}{x+10}\end{equation}

8.

Simplify the quotient.

\begin{equation}\frac{\frac{70}{8x^{3}}}{\frac{7}{48x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{3(x+3)}{12}}{\frac{15(x+3)}{18}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+6}{5(x+2)}}{\frac{x^{2}+12+8x}{x+2}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{3(x+2)}{x^{2}-4}}{\frac{30x^{2}}{3(x^{2}-2x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{6x^{2}y^{2}}{8xy^{5}}}{\frac{24x^{2}y}{64x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{5(x^{2}+7x)}{x^{2}+8x+16}}{\frac{x^{2}+17x+70}{2(x+4)}}\end{equation}