Question

Qual o valor da expressão a seguir?
(6/5+2/15.5):(7/3-4/3.3/2)-5

Answer 1

$\boxed{\frac{\frac{6}{5}+\frac{2}{15}.5}{\frac{7}{3}-\frac{4}{3}.\frac{3}{2}-5}=\frac{\frac{6}{5}+\frac{2}{3}}{\frac{7}{3}-7}=\frac{\frac{18+10}{15}}{\frac{7-21}{3}}=\frac{\frac{28}{15}}{\frac{-14}{3}}=\frac{28}{15}.\frac{3}{-14}=-\frac{6}{15}}$

Answer 2

$\frac{ \frac{6}{5}+ \frac{2}{15} .5}{ \frac{7}{3} - \frac{4}{3}. \frac{3}{2} -5 } \\ \\ \frac{ \frac{6}{5}+ \frac{2}{3}}{ \frac{7}{3} - \frac{12}{6} -5 } \\ \\ \frac{ \frac{6}{5}+ \frac{2}{3}}{ \frac{7}{3} - 7 } \\ \\ \frac{ \frac{18+10}{15}}{ \frac{7-21}{3} } \\ \\ \frac{ \frac{28}{15}}{ \frac{-14}{3} }\\ \\ \frac{28}{15} . \frac{3}{-14} \\ \\ {\frac{2}{15}} . -3 \\ \\ \boxed{ - \frac{6}{15}}$