Whakaoti i te {left(1/2-frac{2/3right)}^2div5/6-sqrt{1/9}}{sqrt[3]{frac{1}{8}}+{left(1-frac{1}{2}right)}^2frac{9}{8}}

$$\frac{ { \left( \frac{ 1 }{ 2 } - \frac{ 2 }{ 3 } \right) }^{ 2 } \div \frac{ 5 }{ 6 } - \sqrt{ \frac{ 1 }{ 9 } } }{ \sqrt[ 3 ]{ \frac{ 1 }{ 8 } } + { \left(1- \frac{ 1 }{ 2 } \right) }^{ 2 } \frac{ 9 }{ 8 } }$$

Aromātai

$$-\frac{48}{125}=-0.384$$

Ngā Upane Otinga

Tangohia te \frac{2}{3} i te \frac{1}{2}, ka -\frac{1}{6}.

$$\frac{\frac{\left(-\frac{1}{6}\right)^{2}}{\frac{5}{6}}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Tātaihia te -\frac{1}{6} mā te pū o 2, kia riro ko \frac{1}{36}.

$$\frac{\frac{\frac{1}{36}}{\frac{5}{6}}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Whakawehe \frac{1}{36} ki te \frac{5}{6} mā te whakarea \frac{1}{36} ki te tau huripoki o \frac{5}{6}.

$$\frac{\frac{1}{36}\times \frac{6}{5}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Whakareatia te \frac{1}{36} ki te \frac{6}{5}, ka \frac{1}{30}.

$$\frac{\frac{1}{30}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{1}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{\frac{1}{30}-\frac{1}{3}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Tangohia te \frac{1}{3} i te \frac{1}{30}, ka -\frac{3}{10}.

$$\frac{-\frac{3}{10}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Tātaitia te \sqrt[3]{\frac{1}{8}} kia tae ki \frac{1}{2}.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

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

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\left(\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\frac{1}{4}\times \frac{9}{8}}$$

Whakareatia te \frac{1}{4} ki te \frac{9}{8}, ka \frac{9}{32}.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\frac{9}{32}}$$

Tāpirihia te \frac{1}{2} ki te \frac{9}{32}, ka \frac{25}{32}.

$$\frac{-\frac{3}{10}}{\frac{25}{32}}$$

Whakawehe -\frac{3}{10} ki te \frac{25}{32} mā te whakarea -\frac{3}{10} ki te tau huripoki o \frac{25}{32}.

$$-\frac{3}{10}\times \frac{32}{25}$$

Whakareatia te -\frac{3}{10} ki te \frac{32}{25}, ka -\frac{48}{125}.

$$-\frac{48}{125}$$

Tauwehe

$$-\frac{48}{125} = -0.384$$