Whakaoti i te (91:7+37):5.2+(1+177:3):12-6=

$$( 91 : 7 + 37 ) : 5.2 + ( 1 + 177 : 3 ) : 12 - 6 =$$

Aromātai

$$\frac{112}{13}\approx 8.615384615$$

Ngā Upane Otinga

Whakawehea te 91 ki te 7, kia riro ko 13.

$$\frac{13+37}{5.2}+\frac{1+\frac{177}{3}}{12}-6$$

Tāpirihia te 13 ki te 37, ka 50.

$$\frac{50}{5.2}+\frac{1+\frac{177}{3}}{12}-6$$

Whakarohaina te \frac{50}{5.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{500}{52}+\frac{1+\frac{177}{3}}{12}-6$$

Whakahekea te hautanga \frac{500}{52} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{125}{13}+\frac{1+\frac{177}{3}}{12}-6$$

Whakawehea te 177 ki te 3, kia riro ko 59.

$$\frac{125}{13}+\frac{1+59}{12}-6$$

Tāpirihia te 1 ki te 59, ka 60.

$$\frac{125}{13}+\frac{60}{12}-6$$

Whakawehea te 60 ki te 12, kia riro ko 5.

$$\frac{125}{13}+5-6$$

Me tahuri te 5 ki te hautau \frac{65}{13}.

$$\frac{125}{13}+\frac{65}{13}-6$$

Tā te mea he rite te tauraro o \frac{125}{13} me \frac{65}{13}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{125+65}{13}-6$$

Tāpirihia te 125 ki te 65, ka 190.

$$\frac{190}{13}-6$$

Me tahuri te 6 ki te hautau \frac{78}{13}.

$$\frac{190}{13}-\frac{78}{13}$$

Tā te mea he rite te tauraro o \frac{190}{13} me \frac{78}{13}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{190-78}{13}$$

Tangohia te 78 i te 190, ka 112.

$$\frac{112}{13}$$

Tauwehe

$$\frac{7 \cdot 2 ^ {4}}{13} = 8\frac{8}{13} = 8.615384615384615$$