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\(\textbf{1)}\) \( \displaystyle\frac{3x}{4y}\cdot \displaystyle\frac{2y^2}{5x} \)
\(\textbf{2)}\) \( \displaystyle\frac{3x^4 y^3 z}{4x^2 z^2}\cdot\displaystyle\frac{x^2 y^2 z^4}{9x^2} \)
\(\textbf{3)}\) \( \displaystyle\frac{x^2+3x-4}{(x+4)(x+5)}\cdot \displaystyle\frac{x+5}{x-1} \)
\(\textbf{4)}\) \( \displaystyle\frac{3x^4 y^3}{4z^3}\div \displaystyle\frac{x^2 y^2}{9z^2} \)
\(\textbf{5)}\) \( \displaystyle\frac{x^2-1}{x+4}\div \displaystyle\frac{x-1}{x+2} \)
\(\textbf{6)}\) \( \displaystyle \displaystyle\frac{\displaystyle\frac{x^2-2x-8}{x+2}}{\displaystyle\frac{x^2-4}{x-4}} \)
See Related Pages\(\)
\(\bullet\text{ Rational Expression Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Symbolab.com)}\)
\(\bullet\text{ Ratios and Proportions}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{4}{3}=\frac{d-4}{12}…\)
\(\bullet\text{ Rational Expressions- Multiplying and Dividing}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{x^2+3x-4}{(x+4)(x+5)}\cdot \displaystyle\frac{x+5}{x-1}…\)
\(\bullet\text{ Rational Expressions- Adding and Subtracting}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{x-5}{x+3}+\frac{x+2}{x^2+5x+6}…\)
\(\bullet\text{ Direct, Inverse, and Joint Variation}\)
\(\,\,\,\,\,\,\,\,\)
\(…\)
\(\bullet\text{ Complex Fractions}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{\frac{x}{5}+\frac{1}{3}}{\frac{1}{5}-\frac{1}{6}}…\)
\(\bullet\text{ Partial Fraction Decomposition}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{8x+10}{x^2+2x}=\displaystyle\frac{5}{x} + \frac{3}{x+2}…\)
In Summary
Multiplying and dividing rational expressions is similar to multiplying and dividing fractions. The numerators and denominators of the expressions are multiplied together. Then you simplify, if possible.
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