Respuesta:
[tex]\frac{4}{5}\times \frac{3}{2}\times \frac{1}{3}=\frac{2}{5}(Decimal:0.4)[/tex]
Explicación paso a paso:
[tex]\mathrm{Cancelar\:el\:factor\:comun:}\:3[/tex]
[tex]=\frac{4}{5}\times \frac{1}{2}[/tex]
[tex]\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{4\times \:1}{5\times \:2}[/tex]
[tex]\mathrm{Aplicar\:regla\:}a\times 1=a[/tex]
[tex]4\times \:1=4[/tex]
[tex]=\frac{4}{5\times \:2}[/tex]
[tex]\mathrm{Descomponer\:el\:numero\:en\:factores\:primos:}\:4=2\times \:2[/tex]
[tex]=\frac{2\times \:2}{5\times \:2}[/tex]
[tex]\mathrm{Eliminar\:los\:terminos\:comunes:}\:2[/tex]
[tex]=\frac{2}{5}[/tex]
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Respuesta:
[tex]\frac{4}{5}\times \frac{3}{2}\times \frac{1}{3}=\frac{2}{5}(Decimal:0.4)[/tex]
Explicación paso a paso:
[tex]\mathrm{Cancelar\:el\:factor\:comun:}\:3[/tex]
[tex]=\frac{4}{5}\times \frac{1}{2}[/tex]
[tex]\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{4\times \:1}{5\times \:2}[/tex]
[tex]\mathrm{Aplicar\:regla\:}a\times 1=a[/tex]
[tex]4\times \:1=4[/tex]
[tex]=\frac{4}{5\times \:2}[/tex]
[tex]\mathrm{Descomponer\:el\:numero\:en\:factores\:primos:}\:4=2\times \:2[/tex]
[tex]=\frac{2\times \:2}{5\times \:2}[/tex]
[tex]\mathrm{Eliminar\:los\:terminos\:comunes:}\:2[/tex]
[tex]=\frac{2}{5}[/tex]