Whakaoti i te 2+2/2+2{2+frac{1/2}}

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

Aromātai

$$\frac{19}{7}\approx 2.714285714$$

Ngā Upane Otinga

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

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

Tā te mea he rite te tauraro o \frac{4}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 4 ki te 1, ka 5.

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

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

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

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

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

Whakareatia te 2 ki te 2, ka 4.

$$2+\frac{2}{2+\frac{4}{5}}$$

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

$$2+\frac{2}{\frac{10}{5}+\frac{4}{5}}$$

Tā te mea he rite te tauraro o \frac{10}{5} me \frac{4}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2+\frac{2}{\frac{10+4}{5}}$$

Tāpirihia te 10 ki te 4, ka 14.

$$2+\frac{2}{\frac{14}{5}}$$

Whakawehe 2 ki te \frac{14}{5} mā te whakarea 2 ki te tau huripoki o \frac{14}{5}.

$$2+2\times \frac{5}{14}$$

Tuhia te 2\times \frac{5}{14} hei hautanga kotahi.

$$2+\frac{2\times 5}{14}$$

Whakareatia te 2 ki te 5, ka 10.

$$2+\frac{10}{14}$$

Whakahekea te hautanga \frac{10}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$2+\frac{5}{7}$$

Me tahuri te 2 ki te hautau \frac{14}{7}.

$$\frac{14}{7}+\frac{5}{7}$$

Tā te mea he rite te tauraro o \frac{14}{7} me \frac{5}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{14+5}{7}$$

Tāpirihia te 14 ki te 5, ka 19.

$$\frac{19}{7}$$

Tauwehe

$$\frac{19}{7} = 2\frac{5}{7} = 2.7142857142857144$$