Question

Bom dia!
Preciso resolver essa questão.

Answer 1

Resposta:

$\frac{1}{3}$

Explicação passo-a-passo:

$(1 - \frac{1}{2} )^{2} \div( (1 - \frac{3}{4} )^{2} \times 8 + ( \frac{1}{2} )^{2} ) = \\ ( \frac{1}{2} )^{2} \div (( \frac{1}{4} )^{2} \times 8 + ( \frac{1}{2} )^{2} ) = \\ \frac{1}{4} \div ( \frac{1}{16} \times 8 + \frac{1}{4} ) = \\ \frac{1}{4} \div ( \frac{8}{16} + \frac{1}{4}) = \\ \frac{1}{4} \div ( \frac{1}{2} + \frac{1}{4} ) = \\ \frac{1}{4} \div \frac{3}{4} = \\ \frac{1}{4} \times \frac{4}{3} = \frac{4}{12} = \frac{1}{3}$