Question

{1+1/2}{1+1/3}{1+{1/4}-{1+1/10}

Answer 1

Respuesta:

$\boxed{\left\{1+\frac{1}{2}\right\}\left\{1+\frac{1}{3}\right\}\left\{1+\left\{\frac{1}{4}\right\}\right\}-\left\{1+\frac{1}{10}\right\}}$

Resolvemos:

$\left\{1+\frac{1}{2}\right\}=\frac{3}{2}$

$\left\{1+\frac{1}{3}\right\}=\frac{4}{3}$

$\left\{1+\left\{\frac{1}{4}\right\}\right\}=\frac{5}{4}$

$\left\{1+\frac{1}{10}\right\}=\frac{11}{10}$

$\frac{3}{2}\cdot \frac{4}{3}\cdot \frac{5}{4}-\frac{11}{10}$

$\frac{3}{2}\cdot \frac{4}{3}\cdot \frac{5}{4}=\frac{5}{2}$

$\frac{5}{2}-\frac{11}{10}=\frac{7}{5}$

Solucion: 7/5

Saludos...