Whakaoti i te 8/1-11/5-23/10-11/2

$$\frac { 8 } { 1 } - 1 \frac { 1 } { 5 } - 2 \frac { 3 } { 10 } - 1 \frac { 1 } { 2 }$$

Aromātai

$$3$$

Ngā Upane Otinga

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$8-\frac{1\times 5+1}{5}-\frac{2\times 10+3}{10}-\frac{1\times 2+1}{2}$$

Whakareatia te 1 ki te 5, ka 5.

$$8-\frac{5+1}{5}-\frac{2\times 10+3}{10}-\frac{1\times 2+1}{2}$$

Tāpirihia te 5 ki te 1, ka 6.

$$8-\frac{6}{5}-\frac{2\times 10+3}{10}-\frac{1\times 2+1}{2}$$

Me tahuri te 8 ki te hautau \frac{40}{5}.

$$\frac{40}{5}-\frac{6}{5}-\frac{2\times 10+3}{10}-\frac{1\times 2+1}{2}$$

Tā te mea he rite te tauraro o \frac{40}{5} me \frac{6}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{40-6}{5}-\frac{2\times 10+3}{10}-\frac{1\times 2+1}{2}$$

Tangohia te 6 i te 40, ka 34.

$$\frac{34}{5}-\frac{2\times 10+3}{10}-\frac{1\times 2+1}{2}$$

Whakareatia te 2 ki te 10, ka 20.

$$\frac{34}{5}-\frac{20+3}{10}-\frac{1\times 2+1}{2}$$

Tāpirihia te 20 ki te 3, ka 23.

$$\frac{34}{5}-\frac{23}{10}-\frac{1\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 5 me 10 ko 10. Me tahuri \frac{34}{5} me \frac{23}{10} ki te hautau me te tautūnga 10.

$$\frac{68}{10}-\frac{23}{10}-\frac{1\times 2+1}{2}$$

Tā te mea he rite te tauraro o \frac{68}{10} me \frac{23}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{68-23}{10}-\frac{1\times 2+1}{2}$$

Tangohia te 23 i te 68, ka 45.

$$\frac{45}{10}-\frac{1\times 2+1}{2}$$

Whakahekea te hautanga \frac{45}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{9}{2}-\frac{1\times 2+1}{2}$$

Whakareatia te 1 ki te 2, ka 2.

$$\frac{9}{2}-\frac{2+1}{2}$$

Tāpirihia te 2 ki te 1, ka 3.

$$\frac{9}{2}-\frac{3}{2}$$

Tā te mea he rite te tauraro o \frac{9}{2} me \frac{3}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{9-3}{2}$$

Tangohia te 3 i te 9, ka 6.

$$\frac{6}{2}$$

Whakawehea te 6 ki te 2, kia riro ko 3.

$$3$$

Tauwehe

$$3$$