Question

por favor aydarme
1/3[1/2+5(1/5+3)]=

Answer 1

RESOLVER:

[tex]\frac{1}{3}\left[\frac{1}{2}+5\left(\frac{1}{5}+3\right)\right][/tex]

Primero resolvemos la expresión del paréntesis [tex]\left[\frac{1}{2}+5\left(\frac{1}{5}+3\right)\right][/tex], veamos:

[tex]\frac{1}{2}+5\left(\frac{1}{5}+3\right)[/tex]

[tex](\frac{1}{5}+3)\\\\\frac{1}{5}+3\\\\=\frac{16}{5}[/tex]

[tex]=\frac{1}{2}+5\cdot \frac{16}{5}[/tex]

[tex]5\cdot \frac{16}{5}\\\\5=\frac{5}{1}\\\\=\frac{5}{1}\cdot \frac{16}{5}\\\\\frac{5}{1}\cdot \frac{16}{5}=\frac{16}{1}\\\\=16[/tex]

[tex]=\frac{1}{2}+16[/tex]

[tex]\frac{1}{2}+16\\\\=\frac{16\cdot \:2}{2}+\frac{1}{2}\\\\=\frac{16\cdot \:2+1}{2}\\\\=\frac{33}{2}[/tex]

[tex]=\frac{1}{3}\cdot \frac{33}{2}[/tex]

Ahora resolvemos la expresión:

[tex]\frac{1}{3}\cdot \frac{33}{2}\\\\=\frac{1\cdot \:33}{3\cdot \:2}\\\\=\frac{33}{3\cdot \:2}\\\\=\frac{3\cdot \:11}{3\cdot \:2}\\\\\boxed{=\frac{11}{2}}[/tex]

Esta sería la respuesta en números mixtos:

[tex]\boxed{=5\frac{1}{2}}[/tex]

MUCHA SUERTE...