Whakaoti i te [(12*3+4):10+2+3*6:(36:3-2)]:3

$$[ ( 12 \cdot 3 + 4 ) : 10 + 2 + 3 \cdot 6 : ( 36 : 3 - 2 ) ] : 3$$

Aromātai

$$\frac{13}{5}=2.6$$

Ngā Upane Otinga

Whakareatia te 12 ki te 3, ka 36.

$$\frac{\frac{36+4}{10}+2+\frac{3\times 6}{\frac{36}{3}-2}}{3}$$

Tāpirihia te 36 ki te 4, ka 40.

$$\frac{\frac{40}{10}+2+\frac{3\times 6}{\frac{36}{3}-2}}{3}$$

Whakawehea te 40 ki te 10, kia riro ko 4.

$$\frac{4+2+\frac{3\times 6}{\frac{36}{3}-2}}{3}$$

Tāpirihia te 4 ki te 2, ka 6.

$$\frac{6+\frac{3\times 6}{\frac{36}{3}-2}}{3}$$

Whakareatia te 3 ki te 6, ka 18.

$$\frac{6+\frac{18}{\frac{36}{3}-2}}{3}$$

Whakawehea te 36 ki te 3, kia riro ko 12.

$$\frac{6+\frac{18}{12-2}}{3}$$

Tangohia te 2 i te 12, ka 10.

$$\frac{6+\frac{18}{10}}{3}$$

Whakahekea te hautanga \frac{18}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{6+\frac{9}{5}}{3}$$

Me tahuri te 6 ki te hautau \frac{30}{5}.

$$\frac{\frac{30}{5}+\frac{9}{5}}{3}$$

Tā te mea he rite te tauraro o \frac{30}{5} me \frac{9}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{30+9}{5}}{3}$$

Tāpirihia te 30 ki te 9, ka 39.

$$\frac{\frac{39}{5}}{3}$$

Tuhia te \frac{\frac{39}{5}}{3} hei hautanga kotahi.

$$\frac{39}{5\times 3}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{39}{15}$$

Whakahekea te hautanga \frac{39}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{13}{5}$$

Tauwehe

$$\frac{13}{5} = 2\frac{3}{5} = 2.6$$