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

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

Izrēķināt

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

Atrisinājuma darbības

Saskaitiet 2 un \frac{1}{3}, lai iegūtu \frac{7}{3}.

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

Atņemiet \frac{1}{5} no 2, lai iegūtu \frac{9}{5}.

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

Daliet \frac{7}{3} ar \frac{9}{5}, reizinot \frac{7}{3} ar apgriezto daļskaitli \frac{9}{5} .

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

Reiziniet \frac{7}{3} un \frac{5}{9}, lai iegūtu \frac{35}{27}.

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

Reiziniet 67 un \frac{35}{27}, lai iegūtu \frac{2345}{27}.

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

Daliet \frac{2345}{27} ar \frac{1}{5}, reizinot \frac{2345}{27} ar apgriezto daļskaitli \frac{1}{5} .

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

Reiziniet \frac{2345}{27} un 5, lai iegūtu \frac{11725}{27}.

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

Aprēķiniet \frac{1}{3} pakāpē -1 un iegūstiet 3.

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

Saskaitiet \frac{11725}{27} un 3, lai iegūtu \frac{11806}{27}.

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

Sadalīt reizinātājos

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