Question

3/2+(1+1/2)(2+ 1 1/3)(3+1/4)=​

Answer 1

$3/2+\left(1+1/2\right)\left(2+1\cdot \frac{1}{3}\right)\left(3+1/4\right)$

$=3/2+\left(1+1/2\right)\left(2+\frac{4}{3}\right)\left(3+1/4\right)$

$=3/2+\frac{3}{2}\left(2+\frac{4}{3}\right)\left(3+1/4\right)$

$=3/2+\frac{3}{2}\cdot \frac{10}{3}\left(3+1/4\right)$

$=3/2+\frac{3}{2}\cdot \frac{10}{3}\cdot \frac{13}{4}$

$=\frac{3}{2}+\frac{3}{2}\cdot \frac{10}{3}\cdot \frac{13}{4}$

$=\frac{3}{2}+\frac{65}{4}$

$=\frac{71}{4}$

$=17\frac{3}{4}$