Whakaoti i te 3+[8-5div{4-2div(2+8/13)}]

$$3 + [ 8 - 5 \div \{ 4 - 2 \div ( 2 + \frac { 8 } { 13 } ) \} ]$$

Aromātai

$$\frac{104}{11}\approx 9.454545455$$

Ngā Upane Otinga

Tāpirihia te 3 ki te 8, ka 11.

$$11-\frac{5}{4-\frac{2}{2+\frac{8}{13}}}$$

Me tahuri te 2 ki te hautau \frac{26}{13}.

$$11-\frac{5}{4-\frac{2}{\frac{26}{13}+\frac{8}{13}}}$$

Tā te mea he rite te tauraro o \frac{26}{13} me \frac{8}{13}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$11-\frac{5}{4-\frac{2}{\frac{26+8}{13}}}$$

Tāpirihia te 26 ki te 8, ka 34.

$$11-\frac{5}{4-\frac{2}{\frac{34}{13}}}$$

Whakawehe 2 ki te \frac{34}{13} mā te whakarea 2 ki te tau huripoki o \frac{34}{13}.

$$11-\frac{5}{4-2\times \frac{13}{34}}$$

Tuhia te 2\times \frac{13}{34} hei hautanga kotahi.

$$11-\frac{5}{4-\frac{2\times 13}{34}}$$

Whakareatia te 2 ki te 13, ka 26.

$$11-\frac{5}{4-\frac{26}{34}}$$

Whakahekea te hautanga \frac{26}{34} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$11-\frac{5}{4-\frac{13}{17}}$$

Me tahuri te 4 ki te hautau \frac{68}{17}.

$$11-\frac{5}{\frac{68}{17}-\frac{13}{17}}$$

Tā te mea he rite te tauraro o \frac{68}{17} me \frac{13}{17}, me tango rāua mā te tango i ō raua taurunga.

$$11-\frac{5}{\frac{68-13}{17}}$$

Tangohia te 13 i te 68, ka 55.

$$11-\frac{5}{\frac{55}{17}}$$

Whakawehe 5 ki te \frac{55}{17} mā te whakarea 5 ki te tau huripoki o \frac{55}{17}.

$$11-5\times \frac{17}{55}$$

Tuhia te 5\times \frac{17}{55} hei hautanga kotahi.

$$11-\frac{5\times 17}{55}$$

Whakareatia te 5 ki te 17, ka 85.

$$11-\frac{85}{55}$$

Whakahekea te hautanga \frac{85}{55} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$11-\frac{17}{11}$$

Me tahuri te 11 ki te hautau \frac{121}{11}.

$$\frac{121}{11}-\frac{17}{11}$$

Tā te mea he rite te tauraro o \frac{121}{11} me \frac{17}{11}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{121-17}{11}$$

Tangohia te 17 i te 121, ka 104.

$$\frac{104}{11}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 13}{11} = 9\frac{5}{11} = 9.454545454545455$$