Whakaoti i te 1+2-3*4div5+6-7*8div9

$$1+2-3 \times 4 \div 5+6-7 \times 8 \div 9$$

Aromātai

$$\frac{17}{45}\approx 0.377777778$$

Ngā Upane Otinga

Tāpirihia te 1 ki te 2, ka 3.

$$3-\frac{3\times 4}{5}+6-\frac{7\times 8}{9}$$

Whakareatia te 3 ki te 4, ka 12.

$$3-\frac{12}{5}+6-\frac{7\times 8}{9}$$

Me tahuri te 3 ki te hautau \frac{15}{5}.

$$\frac{15}{5}-\frac{12}{5}+6-\frac{7\times 8}{9}$$

Tā te mea he rite te tauraro o \frac{15}{5} me \frac{12}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15-12}{5}+6-\frac{7\times 8}{9}$$

Tangohia te 12 i te 15, ka 3.

$$\frac{3}{5}+6-\frac{7\times 8}{9}$$

Me tahuri te 6 ki te hautau \frac{30}{5}.

$$\frac{3}{5}+\frac{30}{5}-\frac{7\times 8}{9}$$

Tā te mea he rite te tauraro o \frac{3}{5} me \frac{30}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+30}{5}-\frac{7\times 8}{9}$$

Tāpirihia te 3 ki te 30, ka 33.

$$\frac{33}{5}-\frac{7\times 8}{9}$$

Whakareatia te 7 ki te 8, ka 56.

$$\frac{33}{5}-\frac{56}{9}$$

Ko te maha noa iti rawa atu o 5 me 9 ko 45. Me tahuri \frac{33}{5} me \frac{56}{9} ki te hautau me te tautūnga 45.

$$\frac{297}{45}-\frac{280}{45}$$

Tā te mea he rite te tauraro o \frac{297}{45} me \frac{280}{45}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{297-280}{45}$$

Tangohia te 280 i te 297, ka 17.

$$\frac{17}{45}$$

Tauwehe

$$\frac{17}{3 ^ {2} \cdot 5} = 0.37777777777777777$$