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

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

Aromātai

$$\frac{11}{13}\approx 0.846153846$$

Ngā Upane Otinga

Tāpirihia te 5 ki te 5, ka 10.

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

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

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

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

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

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.

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

Tāpirihia te 10 ki te 1, ka 11.

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

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

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

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

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

Whakareatia te 5 ki te 2, ka 10.

$$\frac{5}{5+\frac{10}{11}}$$

Me tahuri te 5 ki te hautau \frac{55}{11}.

$$\frac{5}{\frac{55}{11}+\frac{10}{11}}$$

Tā te mea he rite te tauraro o \frac{55}{11} me \frac{10}{11}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{\frac{55+10}{11}}$$

Tāpirihia te 55 ki te 10, ka 65.

$$\frac{5}{\frac{65}{11}}$$

Whakawehe 5 ki te \frac{65}{11} mā te whakarea 5 ki te tau huripoki o \frac{65}{11}.

$$5\times \frac{11}{65}$$

Tuhia te 5\times \frac{11}{65} hei hautanga kotahi.

$$\frac{5\times 11}{65}$$

Whakareatia te 5 ki te 11, ka 55.

$$\frac{55}{65}$$

Whakahekea te hautanga \frac{55}{65} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{11}{13}$$

Tauwehe

$$\frac{11}{13} = 0.8461538461538461$$