Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{6x}{6}}{\frac{18x}{54}}\end{equation}

2.

Simplify the quotient.

\begin{equation}\frac{\frac{2(2+x)}{6x}}{\frac{x+2}{x}}\end{equation}

3.

Simplify the quotient.

\begin{equation}\frac{\frac{4x+1}{6x+1}}{\frac{2x+1}{2x+1}}\end{equation}

4.

Simplify the quotient.

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

5.

Simplify the quotient.

\begin{equation}\frac{2(8x^{3}+10x^{2}+6x)}{2x}\end{equation}

6.

Simplify the quotient.

\begin{equation}\frac{9x^{2}+18+33x}{x+3}\end{equation}

7.

Simplify the quotient.

\begin{equation}\frac{3(4x^{2}+42x+54)}{x+9}\end{equation}

8.

Simplify the quotient.

\begin{equation}\frac{\frac{6}{6x^{3}}}{\frac{3}{42x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{3(x+3)}{40}}{\frac{21(x+3)}{15}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+9}{6(x+2)}}{\frac{x^{2}+45+14x}{x+2}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{10(x+10)}{x^{2}-100}}{\frac{15x^{2}}{3(x^{2}-10x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{4x^{2}y^{2}}{6xy^{5}}}{\frac{12x^{2}y}{36x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{7(x^{2}+8x)}{x^{2}+10x+25}}{\frac{x^{2}+15x+56}{4(x+5)}}\end{equation}