Whakaoti i te 4/4+4{4+frac{4/4+4}}

$$\frac { 4 } { 4 + \frac { 4 } { 4 + \frac { 4 } { 4 + 4 } } }$$

Aromātai

$$\frac{9}{11}\approx 0.818181818$$

Ngā Upane Otinga

Tāpirihia te 4 ki te 4, ka 8.

$$\frac{4}{4+\frac{4}{4+\frac{4}{8}}}$$

Whakahekea te hautanga \frac{4}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{4}{4+\frac{4}{4+\frac{1}{2}}}$$

Me tahuri te 4 ki te hautau \frac{8}{2}.

$$\frac{4}{4+\frac{4}{\frac{8}{2}+\frac{1}{2}}}$$

Tā te mea he rite te tauraro o \frac{8}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4}{4+\frac{4}{\frac{8+1}{2}}}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{4}{4+\frac{4}{\frac{9}{2}}}$$

Whakawehe 4 ki te \frac{9}{2} mā te whakarea 4 ki te tau huripoki o \frac{9}{2}.

$$\frac{4}{4+4\times \frac{2}{9}}$$

Tuhia te 4\times \frac{2}{9} hei hautanga kotahi.

$$\frac{4}{4+\frac{4\times 2}{9}}$$

Whakareatia te 4 ki te 2, ka 8.

$$\frac{4}{4+\frac{8}{9}}$$

Me tahuri te 4 ki te hautau \frac{36}{9}.

$$\frac{4}{\frac{36}{9}+\frac{8}{9}}$$

Tā te mea he rite te tauraro o \frac{36}{9} me \frac{8}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4}{\frac{36+8}{9}}$$

Tāpirihia te 36 ki te 8, ka 44.

$$\frac{4}{\frac{44}{9}}$$

Whakawehe 4 ki te \frac{44}{9} mā te whakarea 4 ki te tau huripoki o \frac{44}{9}.

$$4\times \frac{9}{44}$$

Tuhia te 4\times \frac{9}{44} hei hautanga kotahi.

$$\frac{4\times 9}{44}$$

Whakareatia te 4 ki te 9, ka 36.

$$\frac{36}{44}$$

Whakahekea te hautanga \frac{36}{44} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{9}{11}$$

Tauwehe

$$\frac{3 ^ {2}}{11} = 0.8181818181818182$$