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

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

Ovrednoti

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

Koraki rešitve

Seštejte 2 in \frac{1}{3}, da dobite \frac{7}{3}.

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

Odštejte \frac{1}{5} od 2, da dobite \frac{9}{5}.

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

Delite \frac{7}{3} s/z \frac{9}{5} tako, da pomnožite \frac{7}{3} z obratno vrednostjo \frac{9}{5}.

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

Pomnožite \frac{7}{3} in \frac{5}{9}, da dobite \frac{35}{27}.

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

Pomnožite 67 in \frac{35}{27}, da dobite \frac{2345}{27}.

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

Delite \frac{2345}{27} s/z \frac{1}{5} tako, da pomnožite \frac{2345}{27} z obratno vrednostjo \frac{1}{5}.

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

Pomnožite \frac{2345}{27} in 5, da dobite \frac{11725}{27}.

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

Izračunajte potenco \frac{1}{3} števila -1, da dobite 3.

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

Seštejte \frac{11725}{27} in 3, da dobite \frac{11806}{27}.

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

Faktoriziraj

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