Whakaoti i te 4+8*2+-3/2!*4+-4/3!*8

$$4 + 8 \times 2 + \frac { - 3 } { 2 ! } \times 4 + \frac { - 4 } { 3 ! } \times 8$$

Aromātai

$$\frac{26}{3}\approx 8.666666667$$

Ngā Upane Otinga

Whakareatia te 8 ki te 2, ka 16.

$$4+16+\frac{-3}{2!}\times 4+\frac{-4}{3!}\times 8$$

Tāpirihia te 4 ki te 16, ka 20.

$$20+\frac{-3}{2!}\times 4+\frac{-4}{3!}\times 8$$

Ko te huarea o 2 ko 2.

$$20+\frac{-3}{2}\times 4+\frac{-4}{3!}\times 8$$

Ka taea te hautanga \frac{-3}{2} te tuhi anō ko -\frac{3}{2} mā te tango i te tohu tōraro.

$$20-\frac{3}{2}\times 4+\frac{-4}{3!}\times 8$$

Tuhia te -\frac{3}{2}\times 4 hei hautanga kotahi.

$$20+\frac{-3\times 4}{2}+\frac{-4}{3!}\times 8$$

Whakareatia te -3 ki te 4, ka -12.

$$20+\frac{-12}{2}+\frac{-4}{3!}\times 8$$

Whakawehea te -12 ki te 2, kia riro ko -6.

$$20-6+\frac{-4}{3!}\times 8$$

Tangohia te 6 i te 20, ka 14.

$$14+\frac{-4}{3!}\times 8$$

Ko te huarea o 3 ko 6.

$$14+\frac{-4}{6}\times 8$$

Whakahekea te hautanga \frac{-4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$14-\frac{2}{3}\times 8$$

Tuhia te -\frac{2}{3}\times 8 hei hautanga kotahi.

$$14+\frac{-2\times 8}{3}$$

Whakareatia te -2 ki te 8, ka -16.

$$14+\frac{-16}{3}$$

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

$$14-\frac{16}{3}$$

Me tahuri te 14 ki te hautau \frac{42}{3}.

$$\frac{42}{3}-\frac{16}{3}$$

Tā te mea he rite te tauraro o \frac{42}{3} me \frac{16}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{42-16}{3}$$

Tangohia te 16 i te 42, ka 26.

$$\frac{26}{3}$$

Tauwehe

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$