Whakaoti i te 10.8*(2/3-3/4+7/9)

$$10.8 \times ( \frac { 2 } { 3 } - \frac { 3 } { 4 } + \frac { 7 } { 9 } )$$

Aromātai

$$7.5$$

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.

$$10.8\left(\frac{8}{12}-\frac{9}{12}+\frac{7}{9}\right)$$

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.

$$10.8\left(\frac{8-9}{12}+\frac{7}{9}\right)$$

Tangohia te 9 i te 8, ka -1.

$$10.8\left(-\frac{1}{12}+\frac{7}{9}\right)$$

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.

$$10.8\left(-\frac{3}{36}+\frac{28}{36}\right)$$

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.

$$10.8\times \frac{-3+28}{36}$$

Tāpirihia te -3 ki te 28, ka 25.

$$10.8\times \frac{25}{36}$$

Me tahuri ki tau ā-ira 10.8 ki te hautau \frac{108}{10}. Whakahekea te hautanga \frac{108}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{54}{5}\times \frac{25}{36}$$

Me whakarea te \frac{54}{5} ki te \frac{25}{36} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{54\times 25}{5\times 36}$$

Mahia ngā whakarea i roto i te hautanga \frac{54\times 25}{5\times 36}.

$$\frac{1350}{180}$$

Whakahekea te hautanga \frac{1350}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 90.

$$\frac{15}{2}$$

Tauwehe

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$