Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{5x}{3}}{\frac{30x}{27}}\end{equation}

2.

Simplify the quotient.

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

3.

Simplify the quotient.

\begin{equation}\frac{\frac{7x+1}{5x+1}}{\frac{3x+1}{5x+1}}\end{equation}

4.

Simplify the quotient.

\begin{equation}\frac{\frac{x^{2}+20x+100}{x+8}}{\frac{x+10}{x^{2}+16x+64}}\end{equation}

5.

Simplify the quotient.

\begin{equation}\frac{6(2x^{3}+4x^{2}+8x)}{6x}\end{equation}

6.

Simplify the quotient.

\begin{equation}\frac{5x^{2}+90+55x}{x+9}\end{equation}

7.

Simplify the quotient.

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

8.

Simplify the quotient.

\begin{equation}\frac{\frac{30}{2x^{3}}}{\frac{3}{16x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{7(x+3)}{56}}{\frac{49(x+3)}{14}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+6}{7(x+6)}}{\frac{x^{2}+48+14x}{x+6}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{4(x+8)}{x^{2}-64}}{\frac{56x^{2}}{7(x^{2}-8x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{2x^{2}y^{2}}{9xy^{5}}}{\frac{18x^{2}y}{81x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{8(x^{2}+2x)}{x^{2}+6x+9}}{\frac{x^{2}+6x+8}{9(x+3)}}\end{equation}