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DESCARGA

CAPITULO XIII

Fracciones algebraicas

Simplificación de fracciones

Ejercicio 118

Simplificar o reducir a su más simple expresión:

$\begin{matrix} \frac{a^{2}}{a b} & = \frac{a^{2}}{a b} \\ = \frac{a}{b} \end{matrix}$
$\begin{matrix} \frac{2 a}{8 a^{2} b} & = \frac{2 a}{a^{2} b} \\ = \frac{1}{4 a b} \end{matrix}$
$\begin{matrix} \frac{x^{2} y^{2}}{x^{3} y^{3}} & = \frac{x^{2} y^{2}}{x^{3} y^{3}} \\ = \frac{1}{x y} \end{matrix}$
$\begin{matrix} \frac{a x^{3}}{4 x^{5} y} & = \frac{a x^{3}}{4 x^{} y} \\ = \frac{a}{4 x^{2} y} \end{matrix}$
$\begin{matrix} \frac{6 m^{2} n^{3}}{3 m} & = \frac{m^{2} n^{3}}{3 m} \\ = 2 m n^{3} \end{matrix}$
$\begin{matrix} \frac{9 x^{2} y^{3}}{24 a^{2} x^{3} y^{4}} & = \frac{x^{2} y^{3}}{a^{2} x^{3} y^{4}} \\ = \frac{3}{8 a^{2} x y} \end{matrix}$
$\begin{matrix} \frac{8 m^{4} n^{3} x^{2}}{24 m n^{2} x^{2}} & = \frac{8 m^{} n^{3} x^{2}}{m n^{2} x^{2}} \\ = \frac{m^{3} n}{3} \end{matrix}$
$\begin{matrix} \frac{12 x^{3} y^{4} z^{5}}{32 x y^{2} z} & = \frac{x^{} y^{} z^{}}{x y^{2} z} \\ = \frac{3 x^{2} y^{2} z^{4}}{8} \end{matrix}$
$\begin{matrix} \frac{12 a^{2} b^{3}}{60 a^{3} b^{5} x^{6}} & = \frac{12 a^{2} b^{3}}{a^{3} b^{} x^{6}} \\ = \frac{1}{5 a b^{2} x^{6}} \end{matrix}$
$\begin{matrix} \frac{21 m n^{3} x^{6}}{28 m^{4} n^{2} x^{2}} & = \frac{m n^{3} x^{}}{m^{} n^{2} x^{2}} \\ = \frac{3 n x^{4}}{4 m^{3}} \end{matrix}$
$\begin{matrix} \frac{42 a^{2} c^{3} n}{26 a^{4} c^{5} m} & = \frac{a^{2} c^{3} n}{a^{} c^{} m} \\ = \frac{21 n}{13 a^{2} c^{2} m} \end{matrix}$
$\begin{matrix} \frac{17 x^{3} y^{4} z^{6}}{34 x^{7} y^{8} z^{10}} & = \frac{17 x^{3} y^{4} z^{6}}{x^{} y^{} z^{}} \\ = \frac{1}{2 x^{4} y^{4} z^{4}} \end{matrix}$
$\begin{matrix} \frac{30 x^{6} y^{2}}{45 a^{3} x^{4} z^{3}} & = \frac{x^{} y^{2}}{a^{3} x^{4} z^{3}} \\ = \frac{2 x^{2} y^{2}}{3 a^{3} z^{3}} \end{matrix}$
$\begin{matrix} \frac{a^{5} b^{7}}{3 a^{8} b^{9} c} & = \frac{a^{5} b^{7}}{3 a^{} b^{} c} \\ = \frac{1}{3 a^{3} b^{2} c} \end{matrix}$
$\begin{matrix} \frac{21 a^{8} b^{10} c^{12}}{63 a^{4} b c^{2}} & = \frac{21 a^{} b^{} c^{}}{a^{4} b c^{2}} \\ = \frac{a^{4} b^{9} c^{10}}{3} \end{matrix}$
$\begin{matrix} \frac{54 x^{9} y^{11} z^{13}}{63 x^{10} y^{12} z^{15}} & = \frac{x^{9} y^{11} z^{13}}{x^{10} y^{12} z^{}} \\ = \frac{6}{7 x y z^{2}} \end{matrix}$
$\begin{matrix} \frac{15 a^{12} b^{15} c^{20}}{75 a^{11} b^{16} c^{22}} & = \frac{15 a^{12} b^{15} c^{20}}{a^{11} b^{16} c^{}} \\ = \frac{a}{5 b c^{2}} \end{matrix}$
$\begin{matrix} \frac{75 a^{7} m^{5}}{100 a^{3} m^{12} n^{3}} & = \frac{a^{} m^{5}}{a^{3} m^{} n^{3}} \\ = \frac{3 a^{4}}{4 m^{7} n^{3}} \end{matrix}$