Whakaoti i te 1/1-1{1+1/3-1{frac{1/6+frac{1/3}}}}

$$\frac { 1 } { 1 - \frac { 1 } { 1 + \frac { 1 } { 3 - \frac { 1 } { \frac { 1 } { 6 } + \frac { 1 } { 3 } } } } }$$

Aromātai

$$2$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{1}{6} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-\frac{1}{\frac{1}{6}+\frac{2}{6}}}}}$$

Tā te mea he rite te tauraro o \frac{1}{6} me \frac{2}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-\frac{1}{\frac{1+2}{6}}}}}$$

Tāpirihia te 1 ki te 2, ka 3.

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-\frac{1}{\frac{3}{6}}}}}$$

Whakahekea te hautanga \frac{3}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-\frac{1}{\frac{1}{2}}}}}$$

Whakawehe 1 ki te \frac{1}{2} mā te whakarea 1 ki te tau huripoki o \frac{1}{2}.

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-1\times 2}}}$$

Whakareatia te 1 ki te 2, ka 2.

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-2}}}$$

Tangohia te 2 i te 3, ka 1.

$$\frac{1}{1-\frac{1}{1+\frac{1}{1}}}$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$\frac{1}{1-\frac{1}{1+1}}$$

Tāpirihia te 1 ki te 1, ka 2.

$$\frac{1}{1-\frac{1}{2}}$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$\frac{1}{\frac{2}{2}-\frac{1}{2}}$$

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

$$\frac{1}{\frac{2-1}{2}}$$

Tangohia te 1 i te 2, ka 1.

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

Whakawehe 1 ki te \frac{1}{2} mā te whakarea 1 ki te tau huripoki o \frac{1}{2}.

$$1\times 2$$

Whakareatia te 1 ki te 2, ka 2.

$$2$$

Tauwehe

$$2$$