Whakaoti i te 8+6/6-frac{10{11}}

$$8 + \frac { 6 } { 6 - \frac { 10 } { 11 } }$$

Aromātai

$$\frac{257}{28}\approx 9.178571429$$

Ngā Upane Otinga

Me tahuri te 6 ki te hautau \frac{66}{11}.

$$8+\frac{6}{\frac{66}{11}-\frac{10}{11}}$$

Tā te mea he rite te tauraro o \frac{66}{11} me \frac{10}{11}, me tango rāua mā te tango i ō raua taurunga.

$$8+\frac{6}{\frac{66-10}{11}}$$

Tangohia te 10 i te 66, ka 56.

$$8+\frac{6}{\frac{56}{11}}$$

Whakawehe 6 ki te \frac{56}{11} mā te whakarea 6 ki te tau huripoki o \frac{56}{11}.

$$8+6\times \frac{11}{56}$$

Tuhia te 6\times \frac{11}{56} hei hautanga kotahi.

$$8+\frac{6\times 11}{56}$$

Whakareatia te 6 ki te 11, ka 66.

$$8+\frac{66}{56}$$

Whakahekea te hautanga \frac{66}{56} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$8+\frac{33}{28}$$

Me tahuri te 8 ki te hautau \frac{224}{28}.

$$\frac{224}{28}+\frac{33}{28}$$

Tā te mea he rite te tauraro o \frac{224}{28} me \frac{33}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{224+33}{28}$$

Tāpirihia te 224 ki te 33, ka 257.

$$\frac{257}{28}$$

Tauwehe

$$\frac{257}{2 ^ {2} \cdot 7} = 9\frac{5}{28} = 9.178571428571429$$