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

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

Avaliar

$$\frac{11806}{27}\approx 437,259259259$$

Passos Para a Resolução

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

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

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

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

Divida \frac{7}{3} por \frac{9}{5} ao multiplicar \frac{7}{3} pelo recíproco de \frac{9}{5}.

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

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

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

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

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

Divida \frac{2345}{27} por \frac{1}{5} ao multiplicar \frac{2345}{27} pelo recíproco de \frac{1}{5}.

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

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

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

Calcule \frac{1}{3} elevado a -1 e obtenha 3.

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

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

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

Fatorizar

$$\frac{2 \cdot 5903}{3 ^ {3}} = 437\frac{7}{27} = 437,25925925925924$$