Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{6x}{3}}{\frac{60x}{27}}\end{equation}

2.

Simplify the quotient.

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

3.

Simplify the quotient.

\begin{equation}\frac{\frac{2x+1}{5x+1}}{\frac{8x+1}{3x+1}}\end{equation}

4.

Simplify the quotient.

\begin{equation}\frac{\frac{x^{2}+6x+9}{x+8}}{\frac{x+3}{x^{2}+16x+64}}\end{equation}

5.

Simplify the quotient.

\begin{equation}\frac{2(5x^{3}+8x^{2}+7x)}{2x}\end{equation}

6.

Simplify the quotient.

\begin{equation}\frac{7x^{2}+80+66x}{x+8}\end{equation}

7.

Simplify the quotient.

\begin{equation}\frac{9(5x^{2}+50x+45)}{x+9}\end{equation}

8.

Simplify the quotient.

\begin{equation}\frac{\frac{14}{2x^{3}}}{\frac{2}{10x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{7(x+8)}{8}}{\frac{35(x+8)}{36}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+8}{10(x+10)}}{\frac{x^{2}+72+17x}{x+10}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{8(x+7)}{x^{2}-49}}{\frac{20x^{2}}{5(x^{2}-7x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{10x^{2}y^{2}}{10xy^{5}}}{\frac{20x^{2}y}{100x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{8(x^{2}+6x)}{x^{2}+18x+81}}{\frac{x^{2}+8x+12}{10(x+9)}}\end{equation}