Question

o valor de: 0,333... + 7/2 - (2/3 + 2) é:
a) 1/2
b) 1/3
c) 7/6
d) 3/2

Answer 1

Primeiro transforma 0,333 e, fração: => 3/9

$\dfrac{3}{9} + \dfrac{7}{2} - ( \dfrac{2}{3} + 2 ) \\ \\ \\ MMC \ de\ 9,\ 2 = 18 \\ \\ \\ \dfrac{3}{9} + \dfrac{7}{2} - ( \dfrac{2 + 3*2}{3} ) \\ \\ \\ \dfrac{2*3 + 9*7}{18} - ( \dfrac{8}{3} ) \\ \\ \\ \dfrac{6 + 63}{18} - ( \dfrac{8}{3} ) \\ \\ \\ \dfrac{23}{6} - \dfrac{8}{3} \\ \\ \\ MMC \ de \ 6, 2 = 6 \\ \\ \\ \dfrac{23 - 16}{6} \\ \\ \\=> \dfrac{7}{6}$


Resposta letra c) $\dfrac{7}{6}$