Whakaoti i te 102/5-7/9*6

$$10 \frac { 2 } { 5 } - \frac { 7 } { 9 } \times 6$$

Aromātai

$$\frac{86}{15}\approx 5.733333333$$

Ngā Upane Otinga

Whakareatia te 10 ki te 5, ka 50.

$$\frac{50+2}{5}-\frac{7}{9}\times 6$$

Tāpirihia te 50 ki te 2, ka 52.

$$\frac{52}{5}-\frac{7}{9}\times 6$$

Tuhia te \frac{7}{9}\times 6 hei hautanga kotahi.

$$\frac{52}{5}-\frac{7\times 6}{9}$$

Whakareatia te 7 ki te 6, ka 42.

$$\frac{52}{5}-\frac{42}{9}$$

Whakahekea te hautanga \frac{42}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{52}{5}-\frac{14}{3}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{52}{5} me \frac{14}{3} ki te hautau me te tautūnga 15.

$$\frac{156}{15}-\frac{70}{15}$$

Tā te mea he rite te tauraro o \frac{156}{15} me \frac{70}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{156-70}{15}$$

Tangohia te 70 i te 156, ka 86.

$$\frac{86}{15}$$

Tauwehe

$$\frac{2 \cdot 43}{3 \cdot 5} = 5\frac{11}{15} = 5.733333333333333$$