V.- División de fracciones

A continuación se proponen ejercicios para practicar la división de fracciones algebraicas, aplicando las reglas de producto cruzado de numerador y denominador y simplificación de resultados.

607.

$\large \frac{3x}{4y}:\frac{2c}{5y^{2}}$

608.

$\large 5ab:\frac{5a^{2}b}{2c}$

609.

$\large \frac{2xy^{2}}{7ab}:4x^{2}y^{2}$

610.

$\large \frac{3x^{2}y^{2}}{5ab^{2}}:\frac{6x^{2}y}{15a^{2}b^{2}}$

611.

$\large \frac{a}{b-c}:\frac{a}{b}$

612.

$\large (a+b):\frac{a+b}{a-b}$

613.

$\large \frac{x+y}{a-y}:(x+y)$

614.

$\large \frac{a+b}{a-b}:\frac{a^{2}-b^{2}}{a+b}$

615.

$\large \frac{1}{a+b}:\frac{1}{a^{2}-b^{2}}$

616.

$\large \frac{3a}{a+b}:\frac{2a}{a^{2}+2ab+b^{2}}$

617.

$\large \frac{x^{3}-x}{3x-6}:\frac{5x+5}{2x-4}$

618.

$\large \frac{5m^{2}c^{2}-20n^{2}d^{2}}{mc+2nd}:\frac{x^{2}-y^{2}}{x-y}$

619.

$\large \frac{12a^{2}x^{2}-3b^{3}y^{2}}{8ax+4by}:\frac{x^{2}-y^{2}}{x+y}$

620.

$\large \frac{x^{2}y^{2}-2xyz+z^{2}}{xy-z}:\frac{x^{2}y^{2}-z^{2}}{xy+z}$

621.

$\large (x^{2}-y^{2}):(\frac{1}{x}+\frac{1}{y})$

622.

$\large (a+\frac{c}{d}):(b+\frac{m}{n})$

623.

$\large (a-\frac{a^{2}}{a-b}):(b-\frac{b^{2}}{a+b})$

624.

$\large (x-\frac{x-y}{1+xy}):(1+\frac{x(x-y)}{1+xy})$

625.

$\large \frac{x^{4}-y^{4}}{x^{3}-y^{3}}:\frac{x^{2}+y^{2}}{x^{2}+xy+y^{2}}$

626.

$\large (1+\frac{x-a}{x+a}):(\frac{x+a}{a-a}-1)$

627.

$\large \frac{\frac{a}{b}-\frac{b}{a}}{\frac{a}{b^{2}}-\frac{b}{a^{2}}}:\frac{\frac{1}{a}+\frac{1}{b}}{\frac{a+b}{2a}+\frac{a-b}{2b}}$

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