Question

(4):(ai)
Resolva as expressões e simplifique o resultado quando possível

Answer 1

Resposta:

$a)\\ \\(4-\frac{1}{3}):(4+\frac{1}{2})=(\frac{12-1}{3}):(\frac{8+1}{2})=\\ \\\frac{11}{3}:\frac{9}{2}=\frac{11}{3}~.~\frac{2}{9}=\frac{22}{27}$

$b)\\ \\(\frac{2}{5}-\frac{1}{4}).(\frac{1}{3}-1):(-2-\frac{4}{5}=\\ \\(\frac{8-5}{20}).(\frac{1-3}{3}):(\frac{-10-4}{4})=\\ \\\frac{3}{20}.\frac{-2}{3}:\frac{-14}{5}=\frac{-6}{60}:\frac{-14}{5}=\frac{-1}{10}:\frac{-14}{5}=\\\\\frac{-1}{10}.\frac{5}{-14}=\frac{-5}{-140}=+\frac{5}{28}$

$c)\\ \\(-3-\frac{1}{3}):[(\frac{6}{5}):(\frac{-22}{25})]+\frac{1}{5}=\\ \\(-3-\frac{1}{3}):(\frac{6}{5}.\frac{25}{-22})+\frac{1}{5}=\\ \\\frac{-9-1}{3}:\frac{150}{-110}+\frac{1}{5}=\\ \\\frac{-10}{3}:\frac{150}{-110}+\frac{1}{5}=\\ \\\frac{-10}{3}.\frac{-110}{150}+\frac{1}{5}=\\ \\\frac{1100}{450}+\frac{1}{5}=\frac{22}{9}+\frac{1}{5}=\frac{110+9}{45}=\frac{119}{45}$