Question

calcular “A × B”
ayuda ​

Answer 1

Respuesta:

Corona... =c

Explicación paso a paso:

Valor A

$\frac{2}{5}\cdot \frac{10}{3}\\\\\\\mathrm{Descomponer\:el\:numero\:en\:factores\:primos:}\:10=5\cdot \:2\\\\\\=\frac{2}{5}\cdot \frac{5\cdot \:2}{3}\\\\\\\mathrm{Cancelar\:el\:factor\:comun:}\:5\\\\\\=\frac{2}{1}\cdot \frac{2}{3}\\\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\\\\\=\frac{2\cdot \:2}{1\cdot \:3}\\\\\\\mathrm{Multiplicar\:los\:numeros:}\:2\cdot \:2=4\\\\\\=\frac{4}{1\cdot \:3}$

$\mathrm{Multiplicar\:los\:numeros:}\:1\cdot \:3=3\\\\\\=\frac{4}{3}$

Valor B

$\frac{1}{4}\cdot \frac{4}{9}\cdot \:27\\\\\\\mathrm{Cancelar\:el\:factor\:comun:}\:4\\\\\\=\frac{1}{9}\cdot \:27\\\\\\\mathrm{Convertir\:a\:fraccion}:\quad \:27=\frac{27}{1}\\\\\\=\frac{1}{9}\cdot \frac{27}{1}\\\\\\\mathrm{Descomponer\:el\:numero\:en\:factores\:primos:}\:27=9\cdot \:3\\\\\\=\frac{1}{9}\cdot \frac{9\cdot \:3}{1}\\\\\\\mathrm{Cancelar\:el\:factor\:comun:}\:1\\\\\\=\frac{9\cdot \:3}{9}\\\\\\\mathrm{Eliminar\:los\:terminos\:comunes:}\:9\\\\\\=\frac{3}{1}$

$\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{1}=a\\\\\\=3$

Calcular "AxB"

$\frac{4}{3}\cdot \:3\\\\\\\mathrm{Convertir\:a\:fraccion}:\quad \:3=\frac{3}{1}\\\\\\=\frac{4}{3}\cdot \frac{3}{1}\\\\\\\mathrm{Cancelar\:el\:factor\:comun:}\:3\\\\\\=\frac{4}{1}\\\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{1}=a\\\\\\OjO\\\\\\=4\\\\\\nosenadaoficial$