Question

o valor da expressão (1/2 + 1/3)^2 : (1-1/2)^3 é:

a)25/36
b)9/50
c)36/25
d)50/9

Answer 1

$\frac{( \frac{1}{2} + \frac{1}{3})^{2}}{(1- \frac{1}{2})^{3}} = \\ \\ \frac{(\frac{3+2}{6})^{2}}{( \frac{2-1}{2})^{3}}= \\ \\ \frac{(\frac{5}{6})^{2}}{( \frac{1}{2})^{3}}= \\ \\ \frac{ \frac{25}{36}}{ \frac{1}{8}}= \\ \\ \frac{25}{36}. \frac{8}{1}= \\ \\ \frac{200}{36} = \\ \\ \frac{50}{9}$