Question

se a=0,666..., b=1,333... e c=0,141414..., determine o valor de $a.b^{-1}$ + c

Answer 1

$\bullet \ a = 0,666... = \frac{6}{9} = \frac{2}{3} \\\\ \bullet b = 1,333... = \frac{12}{9} = \frac{4}{3} \\\\ \bullet c = 0,141414... = \frac{14}{99} \\\\ ------------- \\\\ \bullet \ a \cdot b^{-1} + c \\\\ \frac{2}{3} \cdot (\frac{4}{3})^{-1} + \frac{14}{99} \\\\ \frac{2}{3} \cdot \frac{3}{4} + \frac{14}{99} \\\\ \frac{1}{2} + \frac{14}{99} \\\\ \frac{99}{198} + \frac{28}{198} = \boxed{\frac{127}{198}}$