Question

Questão 1- (Uece – 2016) Dados os números racionais 3/7 , 5/6 , 4/9 e 3/5 , a divisão do menor deles pelo maior é igual a:  a) 27/28  b) 18/25 c) 18/35  d) 20/27 ​

Answer 1

$\boxed{\begin{array}{l}\begin{array}{c|c}\sf5,6,7,9&\sf2\\\sf5,3,7,9&\sf3\\\sf5,1,7,3&\sf3\\\sf5,1,7,1&\sf5\\\sf1,1,7,1&\sf7\\\sf1,1,1,1\end{array}\\\sf m\cdot m\cdot c~(5,6,7,9)=2\cdot3^2\cdot5\cdot7=630\\\sf\dfrac{3}{7}=\dfrac{270}{630}~~\dfrac{5}{6}=\dfrac{1050}{630}~~\dfrac{4}{9}=\dfrac{280}{630}~~\dfrac{3}{5}=\dfrac{378}{630}\\\\\sf menor~n\acute umero:\dfrac{3}{7}~~maior~n\acute umero:\dfrac{4}{9}\\\sf\dfrac{3}{7}\div\dfrac{4}{9}=\dfrac{3}{7}\cdot\dfrac{9}{4}=\dfrac{27}{28}\end{array}}$

$\Huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~a}}}}$