Whakaoti i te (6.7)2+1/3/2-frac{1{5}}:1/5+(1/3)^-1

$$( 6.7 ) \frac { 2 + \frac { 1 } { 3 } } { 2 - \frac { 1 } { 5 } } : \frac { 1 } { 5 } + ( \frac { 1 } { 3 } ) ^ { - 1 }$$

Aromātai

$$\frac{2507}{54}\approx 46.425925926$$

Ngā Upane Otinga

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

$$\frac{6.7\times \frac{\frac{7}{3}}{2-\frac{1}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

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

$$\frac{6.7\times \frac{\frac{7}{3}}{\frac{9}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

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

$$\frac{6.7\times \frac{7}{3}\times \frac{5}{9}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

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

$$\frac{6.7\times \frac{35}{27}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Whakareatia te 6.7 ki te \frac{35}{27}, ka \frac{469}{54}.

$$\frac{\frac{469}{54}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}$$

Whakawehe \frac{469}{54} ki te \frac{1}{5} mā te whakarea \frac{469}{54} ki te tau huripoki o \frac{1}{5}.

$$\frac{469}{54}\times 5+\left(\frac{1}{3}\right)^{-1}$$

Whakareatia te \frac{469}{54} ki te 5, ka \frac{2345}{54}.

$$\frac{2345}{54}+\left(\frac{1}{3}\right)^{-1}$$

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

$$\frac{2345}{54}+3$$

Tāpirihia te \frac{2345}{54} ki te 3, ka \frac{2507}{54}.

$$\frac{2507}{54}$$

Tauwehe

$$\frac{23 \cdot 109}{2 \cdot 3 ^ {3}} = 46\frac{23}{54} = 46.425925925925924$$