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

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

Aromātai

$$\frac{18}{31}\approx 0.580645161$$

Ngā Upane Otinga

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

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

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.

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

Tangohia te 1 i te 6, ka 5.

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

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

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

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

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

Me tahuri te 3 ki te hautau \frac{15}{5}.

$$\frac{1}{2-\frac{1}{\frac{15}{5}+\frac{3}{5}}}$$

Tā te mea he rite te tauraro o \frac{15}{5} me \frac{3}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{2-\frac{1}{\frac{15+3}{5}}}$$

Tāpirihia te 15 ki te 3, ka 18.

$$\frac{1}{2-\frac{1}{\frac{18}{5}}}$$

Whakawehe 1 ki te \frac{18}{5} mā te whakarea 1 ki te tau huripoki o \frac{18}{5}.

$$\frac{1}{2-1\times \frac{5}{18}}$$

Whakareatia te 1 ki te \frac{5}{18}, ka \frac{5}{18}.

$$\frac{1}{2-\frac{5}{18}}$$

Me tahuri te 2 ki te hautau \frac{36}{18}.

$$\frac{1}{\frac{36}{18}-\frac{5}{18}}$$

Tā te mea he rite te tauraro o \frac{36}{18} me \frac{5}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{\frac{36-5}{18}}$$

Tangohia te 5 i te 36, ka 31.

$$\frac{1}{\frac{31}{18}}$$

Whakawehe 1 ki te \frac{31}{18} mā te whakarea 1 ki te tau huripoki o \frac{31}{18}.

$$1\times \frac{18}{31}$$

Whakareatia te 1 ki te \frac{18}{31}, ka \frac{18}{31}.

$$\frac{18}{31}$$

Tauwehe

$$\frac{2 \cdot 3 ^ {2}}{31} = 0.5806451612903226$$