Question

O Valor da Expressão: $\frac{(\frac{1}{2} + \frac{1}{3}). (7 + 0,4) }{( \frac{3}{4})^-1 + (\frac{3}{4})^0 + (\frac{3}{4})^1 }$ é:

a) 1
b) 2
c) 4
d) 1,6

Answer 1

Efetuando

         $\frac{( \frac{1}{2}+ \frac{1}{3}).(7+0,4) }{( \frac{3}{4}) ^{-1}+ (\frac{3}{4})^0+( \frac{3}{4} )^1 } \\ \\ =\frac{ (\frac{3+2}{6} ). \frac{74}{10} }{( \frac{4}{3})+1 + \frac{3}{4} } \\ \\ = \frac{ \frac{370}{60} }{ \frac{16+12+9}{12} } \\ \\ = \frac{ \frac{37}{6} }{ \frac{37}{12} } \\ \\ = \frac{37x12}{37x6} \\ \\=2$

                                             ALTERNATIVA b)