Whakaoti i te (91:7+37):52+(1+177:3):12-6=

$$( 91 : 7 + 37 ) : 52 + ( 1 + 177 : 3 ) : 12 - 6 =$$

Aromātai

$$-\frac{1}{26}\approx -0.038461538$$

Ngā Upane Otinga

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

$$\frac{13+37}{52}+\frac{1+\frac{177}{3}}{12}-6$$

Tāpirihia te 13 ki te 37, ka 50.

$$\frac{50}{52}+\frac{1+\frac{177}{3}}{12}-6$$

Whakahekea te hautanga \frac{50}{52} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{25}{26}+\frac{1+\frac{177}{3}}{12}-6$$

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

$$\frac{25}{26}+\frac{1+59}{12}-6$$

Tāpirihia te 1 ki te 59, ka 60.

$$\frac{25}{26}+\frac{60}{12}-6$$

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

$$\frac{25}{26}+5-6$$

Me tahuri te 5 ki te hautau \frac{130}{26}.

$$\frac{25}{26}+\frac{130}{26}-6$$

Tā te mea he rite te tauraro o \frac{25}{26} me \frac{130}{26}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{25+130}{26}-6$$

Tāpirihia te 25 ki te 130, ka 155.

$$\frac{155}{26}-6$$

Me tahuri te 6 ki te hautau \frac{156}{26}.

$$\frac{155}{26}-\frac{156}{26}$$

Tā te mea he rite te tauraro o \frac{155}{26} me \frac{156}{26}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{155-156}{26}$$

Tangohia te 156 i te 155, ka -1.

$$-\frac{1}{26}$$

Tauwehe

$$-\frac{1}{26} = -0.038461538461538464$$