Whakaoti i te 91/3+18/9-6/7

$$9 \frac{ 1 }{ 3 } + \frac{ 18 }{ 9 } - \frac{ 6 }{ 7 }$$

Aromātai

$$\frac{220}{21}\approx 10.476190476$$

Ngā Upane Otinga

Whakareatia te 9 ki te 3, ka 27.

$$\frac{27+1}{3}+\frac{18}{9}-\frac{6}{7}$$

Tāpirihia te 27 ki te 1, ka 28.

$$\frac{28}{3}+\frac{18}{9}-\frac{6}{7}$$

Whakawehea te 18 ki te 9, kia riro ko 2.

$$\frac{28}{3}+2-\frac{6}{7}$$

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{28}{3}+\frac{6}{3}-\frac{6}{7}$$

Tā te mea he rite te tauraro o \frac{28}{3} me \frac{6}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{28+6}{3}-\frac{6}{7}$$

Tāpirihia te 28 ki te 6, ka 34.

$$\frac{34}{3}-\frac{6}{7}$$

Ko te maha noa iti rawa atu o 3 me 7 ko 21. Me tahuri \frac{34}{3} me \frac{6}{7} ki te hautau me te tautūnga 21.

$$\frac{238}{21}-\frac{18}{21}$$

Tā te mea he rite te tauraro o \frac{238}{21} me \frac{18}{21}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{238-18}{21}$$

Tangohia te 18 i te 238, ka 220.

$$\frac{220}{21}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 5 \cdot 11}{3 \cdot 7} = 10\frac{10}{21} = 10.476190476190476$$