Question

Considerando o denominador diferente de zero, resolva as expressões, apresentando o resultado na forma simplificada:

a) 3a / 4 + 1 / a


b) 5x / 3y + 2x / 6y

Answer 1

$a)~~ \dfrac{3a}{4} + \dfrac{1}{a} \to~~ mmc=4a\to~~ \boxed{ \dfrac{3a^2+4}{4a} } \\\\\\\\ b)~~ \dfrac{5x}{3y} + \dfrac{2x}{6y} \to~~ mmc=6y\to~~ \dfrac{10x+2x}{6y} \to~~ \dfrac{12x}{6y} \to~~ \boxed{ \frac{2x}{y} }$