Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{4x}{3}}{\frac{32x}{15}}\end{equation}

2.

Simplify the quotient.

\begin{equation}\frac{\frac{6(5+x)}{6x}}{\frac{x+5}{x}}\end{equation}

3.

Simplify the quotient.

\begin{equation}\frac{\frac{6x+1}{8x+1}}{\frac{5x+1}{4x+1}}\end{equation}

4.

Simplify the quotient.

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

5.

Simplify the quotient.

\begin{equation}\frac{6(9x^{3}+7x^{2}+2x)}{6x}\end{equation}

6.

Simplify the quotient.

\begin{equation}\frac{7x^{2}+54+69x}{x+9}\end{equation}

7.

Simplify the quotient.

\begin{equation}\frac{3(2x^{2}+22x+48)}{x+8}\end{equation}

8.

Simplify the quotient.

\begin{equation}\frac{\frac{24}{2x^{3}}}{\frac{4}{8x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{10(x+8)}{72}}{\frac{50(x+8)}{24}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+2}{10(x+7)}}{\frac{x^{2}+16+10x}{x+7}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{8(x+4)}{x^{2}-16}}{\frac{45x^{2}}{9(x^{2}-4x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{2x^{2}y^{2}}{3xy^{5}}}{\frac{4x^{2}y}{9x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{8(x^{2}+7x)}{x^{2}+14x+49}}{\frac{x^{2}+16x+63}{10(x+7)}}\end{equation}