Algebra-1 Problems

10.3 Dividing Rational Expressions


Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

\begin{equation}\frac{\frac{2x}{10}}{\frac{14x}{20}}\end{equation}

2.

Simplify the quotient.

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

3.

Simplify the quotient.

\begin{equation}\frac{\frac{5x+1}{6x+1}}{\frac{3x+1}{6x+1}}\end{equation}

4.

Simplify the quotient.

\begin{equation}\frac{\frac{x^{2}+18x+81}{x+8}}{\frac{x+9}{x^{2}+16x+64}}\end{equation}

5.

Simplify the quotient.

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

6.

Simplify the quotient.

\begin{equation}\frac{9x^{2}+50+95x}{x+10}\end{equation}

7.

Simplify the quotient.

\begin{equation}\frac{4(3x^{2}+14x+8)}{x+4}\end{equation}

8.

Simplify the quotient.

\begin{equation}\frac{\frac{36}{5x^{3}}}{\frac{6}{35x^{2}}}\end{equation}

9.

Simplify the quotient.

\begin{equation}\frac{\frac{4(x+10)}{24}}{\frac{40(x+10)}{64}}\end{equation}

10.

Simplify the quotient.

\begin{equation}\frac{\frac{x+9}{10(x+9)}}{\frac{x^{2}+27+12x}{x+9}}\end{equation}

11.

Simplify the quotient.

\begin{equation}\frac{\frac{5(x+5)}{x^{2}-25}}{\frac{36x^{2}}{6(x^{2}-5x)}}\end{equation}

12.

Simplify the quotient.

\begin{equation}\frac{\frac{4x^{2}y^{2}}{10xy^{5}}}{\frac{40x^{2}y}{100x}}\end{equation}

13.

Simplify the quotient.

\begin{equation}\frac{\frac{9(x^{2}+10x)}{x^{2}+12x+36}}{\frac{x^{2}+16x+60}{7(x+6)}}\end{equation}