Whakaoti i te (67)2+1/3/2-frac{1{5}}:1/5+(1/3)^-1

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

Aromātai

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

Ngā Upane Otinga

Tāpirihia te 2 ki te \frac{1}{3}, ka \frac{7}{3}.

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

Tangohia te \frac{1}{5} i te 2, ka \frac{9}{5}.

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

Whakawehe \frac{7}{3} ki te \frac{9}{5} mā te whakarea \frac{7}{3} ki te tau huripoki o \frac{9}{5}.

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

Whakareatia te \frac{7}{3} ki te \frac{5}{9}, ka \frac{35}{27}.

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

Whakareatia te 67 ki te \frac{35}{27}, ka \frac{2345}{27}.

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

Whakawehe \frac{2345}{27} ki te \frac{1}{5} mā te whakarea \frac{2345}{27} ki te tau huripoki o \frac{1}{5}.

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

Whakareatia te \frac{2345}{27} ki te 5, ka \frac{11725}{27}.

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

Tātaihia te \frac{1}{3} mā te pū o -1, kia riro ko 3.

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

Tāpirihia te \frac{11725}{27} ki te 3, ka \frac{11806}{27}.

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

Tauwehe

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