Question

√16/25 - 1/5 + {[ 4/9 ÷(1/2 * 2/4 - 1/9)]} - √49/36

Answer 1

Resposta: 79/30

$\sqrt{\dfrac{16}{25} }~ -~\dfrac{1}{5} ~+~\left \{ \left[\dfrac{4}{9}~\div~\left(\dfrac{1}{2}~\cdot ~\dfrac{2}{4} ~-~\dfrac{1}{9} \right) \right] \right \}~-~\sqrt{\dfrac{49}{36} }~=$

$\dfrac{4}{5} ~ -~\dfrac{1}{5} ~+~\left \{ \left[\dfrac{4}{9}~\div~\left(\dfrac{1}{2}~\cdot ~\dfrac{2}{4} ~-~\dfrac{1}{9} \right) \right] \right \}~-~\dfrac{7}{6}~=$

$\dfrac{4}{5} ~ -~\dfrac{1}{5} ~+~\left \{ \left[\dfrac{4}{9}~\div~\left(\dfrac{2}{8}~-~\dfrac{1}{9} \right) \right] \right \}~-~\dfrac{7}{6}~=$

$\dfrac{4}{5} ~ -~\dfrac{1}{5} ~+~\left \{ \left[\dfrac{4}{9}~\div~\left(\dfrac{18-8}{72}\right) \right] \right \}~-~\dfrac{7}{6}~=$

$\dfrac{4}{5} ~ -~\dfrac{1}{5} ~+~\left \{ \left[\dfrac{4}{9}~\div~\dfrac{10}{72} \right] \right \}~-~\dfrac{7}{6}~=$

$\dfrac{4}{5} ~ -~\dfrac{1}{5} ~+~\left \{ \left[\dfrac{4}{9}~\div~\dfrac{5}{36} \right] \right \}~-~\dfrac{7}{6}~=$

$\dfrac{4}{5} ~ -~\dfrac{1}{5} ~+~\left \{ \dfrac{4}{9}~\cdot~\dfrac{36}{5} \right \}~-~\dfrac{7}{6}~=$

$\dfrac{4}{5} ~ -~\dfrac{1}{5} ~+~\left \{ \dfrac{144}{45} \right \}~-~\dfrac{7}{6}~=$

$\dfrac{4}{5} ~ -~\dfrac{1}{5} ~+~ \dfrac{16}{5} ~-~\dfrac{7}{6}~=$

$\dfrac{24-6+96-35}{30}~=$

$\boxed{\dfrac{79}{30}}$

:)