Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{4x}{2}}{\frac{32x}{6}}\end{equation}

2.

Simplify the quotient.

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

3.

Simplify the quotient.

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

4.

Simplify the quotient.

\begin{equation}\frac{\frac{x^{2}+14x+49}{x+9}}{\frac{x+7}{x^{2}+18x+81}}\end{equation}

5.

Simplify the quotient.

\begin{equation}\frac{10(8x^{3}+9x^{2}+3x)}{10x}\end{equation}

6.

Simplify the quotient.

\begin{equation}\frac{5x^{2}+27+48x}{x+9}\end{equation}

7.

Simplify the quotient.

\begin{equation}\frac{4(4x^{2}+16x+12)}{x+3}\end{equation}

8.

Simplify the quotient.

\begin{equation}\frac{\frac{12}{8x^{3}}}{\frac{6}{80x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{4(x+8)}{40}}{\frac{40(x+8)}{25}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+7}{7(x+9)}}{\frac{x^{2}+14+9x}{x+9}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{7(x+8)}{x^{2}-64}}{\frac{40x^{2}}{4(x^{2}-8x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{5x^{2}y^{2}}{4xy^{5}}}{\frac{40x^{2}y}{16x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{10(x^{2}+10x)}{x^{2}+16x+64}}{\frac{x^{2}+19x+90}{10(x+8)}}\end{equation}