Whakaoti i te 77+3*8div9+4*6-9+7div2+78

$$77+3 \times 8 \div 9+4 \times 6-9+7 \div 2+78$$

Aromātai

$$\frac{1057}{6}\approx 176.166666667$$

Ngā Upane Otinga

Whakareatia te 3 ki te 8, ka 24.

$$77+\frac{24}{9}+4\times 6-9+\frac{7}{2}+78$$

Whakahekea te hautanga \frac{24}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$77+\frac{8}{3}+4\times 6-9+\frac{7}{2}+78$$

Me tahuri te 77 ki te hautau \frac{231}{3}.

$$\frac{231}{3}+\frac{8}{3}+4\times 6-9+\frac{7}{2}+78$$

Tā te mea he rite te tauraro o \frac{231}{3} me \frac{8}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{231+8}{3}+4\times 6-9+\frac{7}{2}+78$$

Tāpirihia te 231 ki te 8, ka 239.

$$\frac{239}{3}+4\times 6-9+\frac{7}{2}+78$$

Whakareatia te 4 ki te 6, ka 24.

$$\frac{239}{3}+24-9+\frac{7}{2}+78$$

Me tahuri te 24 ki te hautau \frac{72}{3}.

$$\frac{239}{3}+\frac{72}{3}-9+\frac{7}{2}+78$$

Tā te mea he rite te tauraro o \frac{239}{3} me \frac{72}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{239+72}{3}-9+\frac{7}{2}+78$$

Tāpirihia te 239 ki te 72, ka 311.

$$\frac{311}{3}-9+\frac{7}{2}+78$$

Me tahuri te 9 ki te hautau \frac{27}{3}.

$$\frac{311}{3}-\frac{27}{3}+\frac{7}{2}+78$$

Tā te mea he rite te tauraro o \frac{311}{3} me \frac{27}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{311-27}{3}+\frac{7}{2}+78$$

Tangohia te 27 i te 311, ka 284.

$$\frac{284}{3}+\frac{7}{2}+78$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{284}{3} me \frac{7}{2} ki te hautau me te tautūnga 6.

$$\frac{568}{6}+\frac{21}{6}+78$$

Tā te mea he rite te tauraro o \frac{568}{6} me \frac{21}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{568+21}{6}+78$$

Tāpirihia te 568 ki te 21, ka 589.

$$\frac{589}{6}+78$$

Me tahuri te 78 ki te hautau \frac{468}{6}.

$$\frac{589}{6}+\frac{468}{6}$$

Tā te mea he rite te tauraro o \frac{589}{6} me \frac{468}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{589+468}{6}$$

Tāpirihia te 589 ki te 468, ka 1057.

$$\frac{1057}{6}$$

Tauwehe

$$\frac{7 \cdot 151}{2 \cdot 3} = 176\frac{1}{6} = 176.16666666666666$$