Question

X+Y sobre 1+ xy para X= 1/2 e Y= 1/4

Answer 1

$\dfrac{x+y}{1+xy}$
substituindo os valores dados, temos:

$\dfrac{\dfrac{1}{2}+\dfrac{1}{4}}{1+\dfrac{1}{2}\cdot\dfrac{1}{4}}=$
$\dfrac{\dfrac{2}{4}+\dfrac{1}{4}}{1+\dfrac{1\cdot1}{2\cdot4}}=$
$\dfrac{\dfrac{2+1}{4}}{\dfrac{8}{8}+\dfrac{1}{8}}=$
$\dfrac{\dfrac{3}{4}}{\dfrac{8+1}{8}}=$
$\dfrac{3}{4}\cdot\dfrac{8}{9}=$
$\dfrac{3\cdot8}{4\cdot9}=\dfrac{24}{36}=$ (simplificando a fração por 12)
$=\dfrac{2}{3}$

Answer 2

Olá, boa noite ☺

Resolução:

(x+y)/1+xy x=1/2, y=1/4

(1/2+1/4)1/1+1/2*1/4
3/4 : 9/8
3/4 * 8/9=24/36 : 12/12 = 2/3

Resposta:2/3.

Bons estudos :)