Question

calcula los 2/5 de los 2/15de los 5/12 de 450 kg​

Answer 1

Respuesta:

$10$

Explicación paso a paso:

$\frac{2}{5}\cdot \frac{2}{15}\cdot \frac{5}{12}\cdot 450\\\\\\\\\\\mathrm{Cancelar\:el\:factor\:comun:}\:5\\\\\\\\=\frac{2}{12}\cdot \frac{2}{15}\cdot \:450\\\\\\\\\\\mathrm{Cancelar\:los\:numeros:}\:\frac{2}{12}=\frac{1}{6}\\\\\\\\\\=\frac{1}{6}\cdot \frac{2}{15}\cdot \:450\\\\\\\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\\\\\\\\\\\=\frac{1\cdot \:2\cdot \:450}{6\cdot \:15\cdot \:1}$

$=\frac{2\cdot \:450}{6\cdot \:15}\\\\\\\\\\\\=\frac{3\cdot \:150}{3\cdot \:15}\\\\\\\\\\=\frac{150}{15}\\\\\\\\\\=10$