Question

urgente resolva as expressões a seguir.

Answer 1

Explicação passo-a-passo:

a)

$\sf \left(\dfrac{2}{9}\right)\div\left(1+\dfrac{1}{2}\right)^2$

$\sf =\left(\dfrac{2}{9}\right)\div\left(\dfrac{2+1}{2}\right)^2$

$\sf =\left(\dfrac{2}{9}\right)\div\left(\dfrac{3}{2}\right)^2$

$\sf =\left(\dfrac{2}{9}\right)\div\dfrac{9}{4}$

$\sf =\dfrac{2}{9}\cdot\dfrac{4}{9}$

$\sf =\dfrac{8}{81}$

b)

$\sf \left(\dfrac{7}{8}-\dfrac{3}{4}\right)\times\dfrac{1}{2}$

$\sf =\left(\dfrac{7-6}{8}\right)\times\dfrac{1}{2}$

$\sf =\dfrac{1}{8}\times\dfrac{1}{2}$

$\sf =\dfrac{1}{16}$