Whakaoti i te 1/2-1{2-frac{1/2-frac{1{3}}}}

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

Aromātai

$$\frac{7}{9}\approx 0.777777778$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{6}{3}.

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

Tā te mea he rite te tauraro o \frac{6}{3} me \frac{1}{3}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 1 i te 6, ka 5.

$$\frac{1}{2-\frac{1}{2-\frac{1}{\frac{5}{3}}}}$$

Whakawehe 1 ki te \frac{5}{3} mā te whakarea 1 ki te tau huripoki o \frac{5}{3}.

$$\frac{1}{2-\frac{1}{2-1\times \frac{3}{5}}}$$

Whakareatia te 1 ki te \frac{3}{5}, ka \frac{3}{5}.

$$\frac{1}{2-\frac{1}{2-\frac{3}{5}}}$$

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

$$\frac{1}{2-\frac{1}{\frac{10}{5}-\frac{3}{5}}}$$

Tā te mea he rite te tauraro o \frac{10}{5} me \frac{3}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2-\frac{1}{\frac{10-3}{5}}}$$

Tangohia te 3 i te 10, ka 7.

$$\frac{1}{2-\frac{1}{\frac{7}{5}}}$$

Whakawehe 1 ki te \frac{7}{5} mā te whakarea 1 ki te tau huripoki o \frac{7}{5}.

$$\frac{1}{2-1\times \frac{5}{7}}$$

Whakareatia te 1 ki te \frac{5}{7}, ka \frac{5}{7}.

$$\frac{1}{2-\frac{5}{7}}$$

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

$$\frac{1}{\frac{14}{7}-\frac{5}{7}}$$

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

$$\frac{1}{\frac{14-5}{7}}$$

Tangohia te 5 i te 14, ka 9.

$$\frac{1}{\frac{9}{7}}$$

Whakawehe 1 ki te \frac{9}{7} mā te whakarea 1 ki te tau huripoki o \frac{9}{7}.

$$1\times \frac{7}{9}$$

Whakareatia te 1 ki te \frac{7}{9}, ka \frac{7}{9}.

$$\frac{7}{9}$$

Tauwehe

$$\frac{7}{3 ^ {2}} = 0.7777777777777778$$