Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{8x}{3}}{\frac{48x}{6}}\end{equation}

2.

Simplify the quotient.

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

3.

Simplify the quotient.

\begin{equation}\frac{\frac{4x+1}{7x+1}}{\frac{10x+1}{5x+1}}\end{equation}

4.

Simplify the quotient.

\begin{equation}\frac{\frac{x^{2}+14x+49}{x+4}}{\frac{x+7}{x^{2}+8x+16}}\end{equation}

5.

Simplify the quotient.

\begin{equation}\frac{5(9x^{3}+2x^{2}+2x)}{5x}\end{equation}

6.

Simplify the quotient.

\begin{equation}\frac{7x^{2}+14+51x}{x+7}\end{equation}

7.

Simplify the quotient.

\begin{equation}\frac{2(5x^{2}+58x+80)}{x+10}\end{equation}

8.

Simplify the quotient.

\begin{equation}\frac{\frac{28}{3x^{3}}}{\frac{7}{9x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{10(x+4)}{40}}{\frac{100(x+4)}{16}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+3}{4(x+5)}}{\frac{x^{2}+21+10x}{x+5}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{9(x+6)}{x^{2}-36}}{\frac{21x^{2}}{3(x^{2}-6x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{4x^{2}y^{2}}{2xy^{5}}}{\frac{32x^{2}y}{4x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{9(x^{2}+5x)}{x^{2}+18x+81}}{\frac{x^{2}+13x+40}{6(x+9)}}\end{equation}