Resolver (67)2+1/3/2-frac{1{5}}:1/5+(1/3)^-1

$$( 67 ) \frac { 2 + \frac { 1 } { 3 } } { 2 - \frac { 1 } { 5 } } : \frac { 1 } { 5 } + ( \frac { 1 } { 3 } ) ^ { - 1 }$$

Calcular

$$\frac{11806}{27}\approx 437.259259259$$

Pasos da solución

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

$$\frac{67\times \frac{\frac{7}{3}}{2-\frac{1}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

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

$$\frac{67\times \frac{\frac{7}{3}}{\frac{9}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

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

$$\frac{67\times \frac{7}{3}\times \frac{5}{9}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

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

$$\frac{67\times \frac{35}{27}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Multiplica 67 e \frac{35}{27} para obter \frac{2345}{27}.

$$\frac{\frac{2345}{27}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Divide \frac{2345}{27} entre \frac{1}{5} mediante a multiplicación de \frac{2345}{27} polo recíproco de \frac{1}{5}.

$$\frac{2345}{27}\times 5+\left(\frac{1}{3}\right)^{-1}$$

Multiplica \frac{2345}{27} e 5 para obter \frac{11725}{27}.

$$\frac{11725}{27}+\left(\frac{1}{3}\right)^{-1}$$

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

$$\frac{11725}{27}+3$$

Suma \frac{11725}{27} e 3 para obter \frac{11806}{27}.

$$\frac{11806}{27}$$

Factorizar

$$\frac{2 \cdot 5903}{3 ^ {3}} = 437\frac{7}{27} = 437.25925925925924$$