Question

Calcule essa expressão numérica:

(1 - 1/2)² : [(1 - 3/4)² . 8 + (1/2)²]

a) 1/3 b) 4/5 c) 7/15 d) 37/12

Answer 1

Resposta:

Alternativa a

Explicação passo-a-passo:

$(1 - 1/2)^2 : [(1 - 3/4)^2 . 8 + (1/2)^2]\\(\frac{2-1}{2})^2 : [ (\frac{4-3}{4})^2.8 + \frac{1}{2}^2]\\\\(\frac{1}{4}) : [(\frac{1}{16}.8 ) + \frac{1}{4}]\\\\\frac{1}{4} : [ \frac{1}{2}+ \frac{1}{4}]\\\\\frac{1}{4} : \frac{3}{4} = \frac{1}{4} . \frac{4}{3} = \frac{4}{12}=\frac{1}{3}$