Whakaoti i te 5*3-7div9*2+3div8*6-2=

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

Aromātai

$$\frac{493}{36}\approx 13.694444444$$

Ngā Upane Otinga

Whakareatia te 5 ki te 3, ka 15.

$$15-\frac{7}{9}\times 2+\frac{3}{8}\times 6-2$$

Tuhia te \frac{7}{9}\times 2 hei hautanga kotahi.

$$15-\frac{7\times 2}{9}+\frac{3}{8}\times 6-2$$

Whakareatia te 7 ki te 2, ka 14.

$$15-\frac{14}{9}+\frac{3}{8}\times 6-2$$

Me tahuri te 15 ki te hautau \frac{135}{9}.

$$\frac{135}{9}-\frac{14}{9}+\frac{3}{8}\times 6-2$$

Tā te mea he rite te tauraro o \frac{135}{9} me \frac{14}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{135-14}{9}+\frac{3}{8}\times 6-2$$

Tangohia te 14 i te 135, ka 121.

$$\frac{121}{9}+\frac{3}{8}\times 6-2$$

Tuhia te \frac{3}{8}\times 6 hei hautanga kotahi.

$$\frac{121}{9}+\frac{3\times 6}{8}-2$$

Whakareatia te 3 ki te 6, ka 18.

$$\frac{121}{9}+\frac{18}{8}-2$$

Whakahekea te hautanga \frac{18}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{121}{9}+\frac{9}{4}-2$$

Ko te maha noa iti rawa atu o 9 me 4 ko 36. Me tahuri \frac{121}{9} me \frac{9}{4} ki te hautau me te tautūnga 36.

$$\frac{484}{36}+\frac{81}{36}-2$$

Tā te mea he rite te tauraro o \frac{484}{36} me \frac{81}{36}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{484+81}{36}-2$$

Tāpirihia te 484 ki te 81, ka 565.

$$\frac{565}{36}-2$$

Me tahuri te 2 ki te hautau \frac{72}{36}.

$$\frac{565}{36}-\frac{72}{36}$$

Tā te mea he rite te tauraro o \frac{565}{36} me \frac{72}{36}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{565-72}{36}$$

Tangohia te 72 i te 565, ka 493.

$$\frac{493}{36}$$

Tauwehe

$$\frac{17 \cdot 29}{2 ^ {2} \cdot 3 ^ {2}} = 13\frac{25}{36} = 13.694444444444445$$