Whakaoti i te 108*(2/3-3/4+7/9)

$$108 \times ( \frac { 2 } { 3 } - \frac { 3 } { 4 } + \frac { 7 } { 9 } )$$

Aromātai

$$75$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{2}{3} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$108\left(\frac{8}{12}-\frac{9}{12}+\frac{7}{9}\right)$$

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$108\left(\frac{8-9}{12}+\frac{7}{9}\right)$$

Tangohia te 9 i te 8, ka -1.

$$108\left(-\frac{1}{12}+\frac{7}{9}\right)$$

Ko te maha noa iti rawa atu o 12 me 9 ko 36. Me tahuri -\frac{1}{12} me \frac{7}{9} ki te hautau me te tautūnga 36.

$$108\left(-\frac{3}{36}+\frac{28}{36}\right)$$

Tā te mea he rite te tauraro o -\frac{3}{36} me \frac{28}{36}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$108\times \frac{-3+28}{36}$$

Tāpirihia te -3 ki te 28, ka 25.

$$108\times \frac{25}{36}$$

Tuhia te 108\times \frac{25}{36} hei hautanga kotahi.

$$\frac{108\times 25}{36}$$

Whakareatia te 108 ki te 25, ka 2700.

$$\frac{2700}{36}$$

Whakawehea te 2700 ki te 36, kia riro ko 75.

$$75$$

Tauwehe

$$3\times 5^{2}$$