Question

9/4 x12/6x 3/27x 21/14

Answer 1

Respuesta:

$=\frac{3}{4}$

Explicación paso a paso:

$\frac{9}{4}\cdot \frac{12}{6}\cdot \frac{3}{27}\cdot \frac{21}{14}\\\\\mathrm{Dividir:}\:\frac{12}{6}=2\\\\2\cdot \frac{9}{4}\cdot \frac{3}{27}\cdot \frac{21}{14}\\\\Simplificar:\frac{3}{27}=\frac{1}{9}\\\\=2\cdot \frac{9}{4}\cdot \frac{1}{9}\cdot \frac{21}{14}\\\\Simplificar:\frac{21}{14}=\frac{3}{2}\\\\=2\cdot \frac{9}{4}\cdot \frac{1}{9}\cdot \frac{3}{2}\\\\\mathrm{Convertir\:a\:fraccion}:\quad \:2=\frac{2}{1}\\\\=\frac{9}{4}\cdot \frac{2}{1}\cdot \frac{1}{9}\cdot \frac{3}{2}$

$\mathrm{Multiplicar\:fracciones}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\\\=\frac{9\cdot \:2\cdot \:1\cdot \:3}{4\cdot \:1\cdot \:9\cdot \:2}\\\\\mathrm{Eliminar\:los\:terminos\:comunes:}\:9\\\\=\frac{2\cdot \:1\cdot \:3}{4\cdot \:1\cdot \:2}\\\\\mathrm{Eliminar\:los\:terminos\:comunes:}\:2\\\\=\frac{1\cdot \:3}{4\cdot \:1}\\\\\mathrm{Eliminar\:los\:terminos\:comunes:}\:1\\\\=\frac{3}{4}$