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

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

Aromātai

$$\frac{10}{3}\approx 3.333333333$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{3}{3}.

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

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

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

Tāpirihia te 3 ki te 1, ka 4.

$$1+\frac{1}{1-\frac{1}{1+\frac{1}{\frac{4}{3}}}}$$

Whakawehe 1 ki te \frac{4}{3} mā te whakarea 1 ki te tau huripoki o \frac{4}{3}.

$$1+\frac{1}{1-\frac{1}{1+1\times \frac{3}{4}}}$$

Whakareatia te 1 ki te \frac{3}{4}, ka \frac{3}{4}.

$$1+\frac{1}{1-\frac{1}{1+\frac{3}{4}}}$$

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$1+\frac{1}{1-\frac{1}{\frac{4}{4}+\frac{3}{4}}}$$

Tā te mea he rite te tauraro o \frac{4}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$1+\frac{1}{1-\frac{1}{\frac{4+3}{4}}}$$

Tāpirihia te 4 ki te 3, ka 7.

$$1+\frac{1}{1-\frac{1}{\frac{7}{4}}}$$

Whakawehe 1 ki te \frac{7}{4} mā te whakarea 1 ki te tau huripoki o \frac{7}{4}.

$$1+\frac{1}{1-1\times \frac{4}{7}}$$

Whakareatia te 1 ki te \frac{4}{7}, ka \frac{4}{7}.

$$1+\frac{1}{1-\frac{4}{7}}$$

Me tahuri te 1 ki te hautau \frac{7}{7}.

$$1+\frac{1}{\frac{7}{7}-\frac{4}{7}}$$

Tā te mea he rite te tauraro o \frac{7}{7} me \frac{4}{7}, me tango rāua mā te tango i ō raua taurunga.

$$1+\frac{1}{\frac{7-4}{7}}$$

Tangohia te 4 i te 7, ka 3.

$$1+\frac{1}{\frac{3}{7}}$$

Whakawehe 1 ki te \frac{3}{7} mā te whakarea 1 ki te tau huripoki o \frac{3}{7}.

$$1+1\times \frac{7}{3}$$

Whakareatia te 1 ki te \frac{7}{3}, ka \frac{7}{3}.

$$1+\frac{7}{3}$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{3}{3}+\frac{7}{3}$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{7}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+7}{3}$$

Tāpirihia te 3 ki te 7, ka 10.

$$\frac{10}{3}$$

Tauwehe

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$