Question

1) 2/5 entre 1/4 entre 3/4 2) 3/4 entre 1/2 entre 1/3

Answer 1

Respuesta:

Saludos...

Explicación paso a paso:

1)

$\frac{2}{5}\div \frac{1}{4}\div \frac{3}{4}\\\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\\\=\frac{2}{5}\times \frac{4}{1}\div \frac{3}{4}\\\\\\=\frac{2}{5}\times \frac{4}{1}\times \frac{4}{3}\\\\\\\mathrm{Multiplicar\:fracciones}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\\\\\=\frac{2\times \:4\times \:4}{5\times \:1\times \:3}\\\\\\=\frac{32}{15}$

2) Lo mismo...

$\frac{3}{4}\div \frac{1}{2}\div \frac{1}{3}\\\\\\=\frac{3}{4}\times \frac{2}{1}\div \frac{1}{3}\\\\\\=\frac{3}{4}\times \frac{2}{1}\times \frac{3}{1}\\\\\\=\frac{3\times \:2\times \:3}{4\times \:1\times \:1}\\\\\\=\frac{18}{4\times \:1\times \:1}\\\\\\=\frac{18}{4}\\\\\\=\frac{9}{2}$