Whakaoti i te 2(-4)^2-4/3(-4)+2/frac{1{2}(-4)+4}

$$\frac { 2 ( - 4 ) ^ { 2 } - 4 / 3 ( - 4 ) + 2 } { \frac { 1 } { 2 } ( - 4 ) + 4 }$$

Aromātai

$$\frac{59}{3}\approx 19.666666667$$

Ngā Upane Otinga

Tātaihia te -4 mā te pū o 2, kia riro ko 16.

$$\frac{2\times 16-\frac{4}{3}\left(-4\right)+2}{\frac{1}{2}\left(-4\right)+4}$$

Whakareatia te 2 ki te 16, ka 32.

$$\frac{32-\frac{4}{3}\left(-4\right)+2}{\frac{1}{2}\left(-4\right)+4}$$

Tuhia te \frac{4}{3}\left(-4\right) hei hautanga kotahi.

$$\frac{32-\frac{4\left(-4\right)}{3}+2}{\frac{1}{2}\left(-4\right)+4}$$

Whakareatia te 4 ki te -4, ka -16.

$$\frac{32-\frac{-16}{3}+2}{\frac{1}{2}\left(-4\right)+4}$$

Ka taea te hautanga \frac{-16}{3} te tuhi anō ko -\frac{16}{3} mā te tango i te tohu tōraro.

$$\frac{32-\left(-\frac{16}{3}\right)+2}{\frac{1}{2}\left(-4\right)+4}$$

Ko te tauaro o -\frac{16}{3} ko \frac{16}{3}.

$$\frac{32+\frac{16}{3}+2}{\frac{1}{2}\left(-4\right)+4}$$

Me tahuri te 32 ki te hautau \frac{96}{3}.

$$\frac{\frac{96}{3}+\frac{16}{3}+2}{\frac{1}{2}\left(-4\right)+4}$$

Tā te mea he rite te tauraro o \frac{96}{3} me \frac{16}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{96+16}{3}+2}{\frac{1}{2}\left(-4\right)+4}$$

Tāpirihia te 96 ki te 16, ka 112.

$$\frac{\frac{112}{3}+2}{\frac{1}{2}\left(-4\right)+4}$$

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{\frac{112}{3}+\frac{6}{3}}{\frac{1}{2}\left(-4\right)+4}$$

Tā te mea he rite te tauraro o \frac{112}{3} me \frac{6}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{112+6}{3}}{\frac{1}{2}\left(-4\right)+4}$$

Tāpirihia te 112 ki te 6, ka 118.

$$\frac{\frac{118}{3}}{\frac{1}{2}\left(-4\right)+4}$$

Whakareatia te \frac{1}{2} ki te -4, ka \frac{-4}{2}.

$$\frac{\frac{118}{3}}{\frac{-4}{2}+4}$$

Whakawehea te -4 ki te 2, kia riro ko -2.

$$\frac{\frac{118}{3}}{-2+4}$$

Tāpirihia te -2 ki te 4, ka 2.

$$\frac{\frac{118}{3}}{2}$$

Tuhia te \frac{\frac{118}{3}}{2} hei hautanga kotahi.

$$\frac{118}{3\times 2}$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{118}{6}$$

Whakahekea te hautanga \frac{118}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{59}{3}$$

Tauwehe

$$\frac{59}{3} = 19\frac{2}{3} = 19.666666666666668$$