Whakaoti i te 4+8*2+-3/21*4+-4/3!*8

$$4 + 8 \times 2 + \frac { - 3 } { 21 } \times 4 + \frac { - 4 } { 3 ! } \times 8$$

Aromātai

$$\frac{296}{21}\approx 14.095238095$$

Ngā Upane Otinga

Whakareatia te 8 ki te 2, ka 16.

$$4+16+\frac{-3}{21}\times 4+\frac{-4}{3!}\times 8$$

Tāpirihia te 4 ki te 16, ka 20.

$$20+\frac{-3}{21}\times 4+\frac{-4}{3!}\times 8$$

Whakahekea te hautanga \frac{-3}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$20-\frac{1}{7}\times 4+\frac{-4}{3!}\times 8$$

Tuhia te -\frac{1}{7}\times 4 hei hautanga kotahi.

$$20+\frac{-4}{7}+\frac{-4}{3!}\times 8$$

Ka taea te hautanga \frac{-4}{7} te tuhi anō ko -\frac{4}{7} mā te tango i te tohu tōraro.

$$20-\frac{4}{7}+\frac{-4}{3!}\times 8$$

Me tahuri te 20 ki te hautau \frac{140}{7}.

$$\frac{140}{7}-\frac{4}{7}+\frac{-4}{3!}\times 8$$

Tā te mea he rite te tauraro o \frac{140}{7} me \frac{4}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{140-4}{7}+\frac{-4}{3!}\times 8$$

Tangohia te 4 i te 140, ka 136.

$$\frac{136}{7}+\frac{-4}{3!}\times 8$$

Ko te huarea o 3 ko 6.

$$\frac{136}{7}+\frac{-4}{6}\times 8$$

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

$$\frac{136}{7}-\frac{2}{3}\times 8$$

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

$$\frac{136}{7}+\frac{-2\times 8}{3}$$

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

$$\frac{136}{7}+\frac{-16}{3}$$

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

$$\frac{136}{7}-\frac{16}{3}$$

Ko te maha noa iti rawa atu o 7 me 3 ko 21. Me tahuri \frac{136}{7} me \frac{16}{3} ki te hautau me te tautūnga 21.

$$\frac{408}{21}-\frac{112}{21}$$

Tā te mea he rite te tauraro o \frac{408}{21} me \frac{112}{21}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{408-112}{21}$$

Tangohia te 112 i te 408, ka 296.

$$\frac{296}{21}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 37}{3 \cdot 7} = 14\frac{2}{21} = 14.095238095238095$$