Question

Halla el 20% del 25% del 40% del 15 por 60 de 2400

Answer 1

Respuesta:

$=43200$

Explicación paso a paso:

$20\%\:25\%\:40\%\:15\cdot \:60\cdot \:2400\\\\20\%\:en\:fracciones:\quad \frac{1}{5}\\\\25\%\:en\:fracciones:\quad \frac{1}{4}\\\\40\%\:en\:fracciones:\quad \frac{2}{5}\\\\=\frac{1}{5}\cdot \frac{1}{4}\cdot \frac{2}{5}\cdot \:15\cdot \:60\cdot \:2400\\\\\mathrm{Convertir\:a\:fraccion}:\quad \:15=\frac{15}{1}\\\\=60\cdot \:2400\cdot \frac{1}{5}\cdot \frac{1}{4}\cdot \frac{2}{5}\cdot \frac{15}{1}\\\\\mathrm{Convertir\:a\:fraccion}:\quad \:60=\frac{60}{1}$

$=2400\cdot \frac{1}{5}\cdot \frac{1}{4}\cdot \frac{2}{5}\cdot \frac{15}{1}\cdot \frac{60}{1}\\\\\mathrm{Convertir\:a\:fraccion}:\quad \:2400=\frac{2400}{1}\\\\=\frac{1}{5}\cdot \frac{1}{4}\cdot \frac{2}{5}\cdot \frac{15}{1}\cdot \frac{60}{1}\cdot \frac{2400}{1}\\\\\mathrm{Multiplicar\:fracciones}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\\\=\frac{1\cdot \:1\cdot \:2\cdot \:15\cdot \:60\cdot \:2400}{5\cdot \:4\cdot \:5\cdot \:1\cdot \:1\cdot \:1}$

$\mathrm{Eliminar\:los\:terminos\:comunes:}\:1\\\\=\frac{2\cdot \:15\cdot \:60\cdot \:2400}{5\cdot \:4\cdot \:5\cdot \:1}\\\\=\frac{4320000}{100}\\\\=43200$