Resolver (6.7)2+1/3/2-frac{1{5}}:1/5+(1/3)^-1

$$( 6.7 ) \frac { 2 + \frac { 1 } { 3 } } { 2 - \frac { 1 } { 5 } } : \frac { 1 } { 5 } + ( \frac { 1 } { 3 } ) ^ { - 1 }$$

Calcular

$$\frac{2507}{54}\approx 46.425925926$$

Pasos da solución

Suma 2 e \frac{1}{3} para obter \frac{7}{3}.

$$\frac{6.7\times \frac{\frac{7}{3}}{2-\frac{1}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Resta \frac{1}{5} de 2 para obter \frac{9}{5}.

$$\frac{6.7\times \frac{\frac{7}{3}}{\frac{9}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Divide \frac{7}{3} entre \frac{9}{5} mediante a multiplicación de \frac{7}{3} polo recíproco de \frac{9}{5}.

$$\frac{6.7\times \frac{7}{3}\times \frac{5}{9}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Multiplica \frac{7}{3} e \frac{5}{9} para obter \frac{35}{27}.

$$\frac{6.7\times \frac{35}{27}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Multiplica 6.7 e \frac{35}{27} para obter \frac{469}{54}.

$$\frac{\frac{469}{54}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Divide \frac{469}{54} entre \frac{1}{5} mediante a multiplicación de \frac{469}{54} polo recíproco de \frac{1}{5}.

$$\frac{469}{54}\times 5+\left(\frac{1}{3}\right)^{-1}$$

Multiplica \frac{469}{54} e 5 para obter \frac{2345}{54}.

$$\frac{2345}{54}+\left(\frac{1}{3}\right)^{-1}$$

Calcula \frac{1}{3} á potencia de -1 e obtén 3.

$$\frac{2345}{54}+3$$

Suma \frac{2345}{54} e 3 para obter \frac{2507}{54}.

$$\frac{2507}{54}$$

Factorizar

$$\frac{23 \cdot 109}{2 \cdot 3 ^ {3}} = 46\frac{23}{54} = 46.425925925925924$$