Whakaoti i te 5/5+frac{5{5+5}}

$$\frac { 5 } { 5 + \frac { 5 } { 5 + 5 } }$$

Aromātai

$$\frac{10}{11}\approx 0.909090909$$

Ngā Upane Otinga

Tāpirihia te 5 ki te 5, ka 10.

$$\frac{5}{5+\frac{5}{10}}$$

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

$$\frac{5}{5+\frac{1}{2}}$$

Me tahuri te 5 ki te hautau \frac{10}{2}.

$$\frac{5}{\frac{10}{2}+\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{10}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{\frac{10+1}{2}}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{5}{\frac{11}{2}}$$

Whakawehe 5 ki te \frac{11}{2} mā te whakarea 5 ki te tau huripoki o \frac{11}{2}.

$$5\times \frac{2}{11}$$

Tuhia te 5\times \frac{2}{11} hei hautanga kotahi.

$$\frac{5\times 2}{11}$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{10}{11}$$

Tauwehe

$$\frac{2 \cdot 5}{11} = 0.9090909090909091$$