Question

Se a= 0,6666 … , b= 1,333 … c= 0,141414 …, então, a∙b-¹
 + c = m/n. O valor de m - n é?


. O valor de − é?

Answer 1

$a=0,666...=\frac{6}{9}=\frac{2}{3}\\ \\ b=1,3333...=1+\frac{3}{9}=1+\frac{1}{3}=\frac{4}{3}\\ \\ c=0,141414...=\frac{14}{99}\\ \\ a.b^{-1}+c=\frac{2}{3}*\frac{3}{4}+\frac{14}{99}=\frac{1}{2}+\frac{14}{99}=\frac{127}{198}=\frac{m}{n}\\ \\ m=127\\ n=198\\ \\ m-n=127-198\\ \\ m-n=-71$