Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{9x}{5}}{\frac{72x}{10}}\end{equation}

2.

Simplify the quotient.

\begin{equation}\frac{\frac{4(10+x)}{6x}}{\frac{x+10}{x}}\end{equation}

3.

Simplify the quotient.

\begin{equation}\frac{\frac{7x+1}{9x+1}}{\frac{7x+1}{2x+1}}\end{equation}

4.

Simplify the quotient.

\begin{equation}\frac{\frac{x^{2}+16x+64}{x+6}}{\frac{x+8}{x^{2}+12x+36}}\end{equation}

5.

Simplify the quotient.

\begin{equation}\frac{4(7x^{3}+2x^{2}+8x)}{4x}\end{equation}

6.

Simplify the quotient.

\begin{equation}\frac{2x^{2}+72+25x}{x+8}\end{equation}

7.

Simplify the quotient.

\begin{equation}\frac{2(9x^{2}+30x+9)}{x+3}\end{equation}

8.

Simplify the quotient.

\begin{equation}\frac{\frac{8}{9x^{3}}}{\frac{2}{81x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{6(x+10)}{63}}{\frac{60(x+10)}{63}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+3}{2(x+5)}}{\frac{x^{2}+12+7x}{x+5}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{8(x+5)}{x^{2}-25}}{\frac{63x^{2}}{7(x^{2}-5x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{9x^{2}y^{2}}{5xy^{5}}}{\frac{27x^{2}y}{25x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{4(x^{2}+4x)}{x^{2}+8x+16}}{\frac{x^{2}+10x+24}{2(x+4)}}\end{equation}