Whakaoti i te 1-1/1+2{3-frac{1/2}}+1/1+1{1+frac{1/4}}

$$1 - \frac { 1 } { 1 + \frac { 2 } { 3 - \frac { 1 } { 2 } } } + \frac { 1 } { 1 + \frac { 1 } { 1 + \frac { 1 } { 4 } } }$$

Aromātai

$$1$$

Ngā Upane Otinga

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

$$1-\frac{1}{1+\frac{2}{\frac{6}{2}-\frac{1}{2}}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

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

$$1-\frac{1}{1+\frac{2}{\frac{6-1}{2}}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Tangohia te 1 i te 6, ka 5.

$$1-\frac{1}{1+\frac{2}{\frac{5}{2}}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

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

$$1-\frac{1}{1+2\times \frac{2}{5}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

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

$$1-\frac{1}{1+\frac{2\times 2}{5}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Whakareatia te 2 ki te 2, ka 4.

$$1-\frac{1}{1+\frac{4}{5}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$1-\frac{1}{\frac{5}{5}+\frac{4}{5}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

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

$$1-\frac{1}{\frac{5+4}{5}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Tāpirihia te 5 ki te 4, ka 9.

$$1-\frac{1}{\frac{9}{5}}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Whakawehe 1 ki te \frac{9}{5} mā te whakarea 1 ki te tau huripoki o \frac{9}{5}.

$$1-1\times \frac{5}{9}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Whakareatia te 1 ki te \frac{5}{9}, ka \frac{5}{9}.

$$1-\frac{5}{9}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Me tahuri te 1 ki te hautau \frac{9}{9}.

$$\frac{9}{9}-\frac{5}{9}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Tā te mea he rite te tauraro o \frac{9}{9} me \frac{5}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{9-5}{9}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

Tangohia te 5 i te 9, ka 4.

$$\frac{4}{9}+\frac{1}{1+\frac{1}{1+\frac{1}{4}}}$$

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

$$\frac{4}{9}+\frac{1}{1+\frac{1}{\frac{4}{4}+\frac{1}{4}}}$$

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

$$\frac{4}{9}+\frac{1}{1+\frac{1}{\frac{4+1}{4}}}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{4}{9}+\frac{1}{1+\frac{1}{\frac{5}{4}}}$$

Whakawehe 1 ki te \frac{5}{4} mā te whakarea 1 ki te tau huripoki o \frac{5}{4}.

$$\frac{4}{9}+\frac{1}{1+1\times \frac{4}{5}}$$

Whakareatia te 1 ki te \frac{4}{5}, ka \frac{4}{5}.

$$\frac{4}{9}+\frac{1}{1+\frac{4}{5}}$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$\frac{4}{9}+\frac{1}{\frac{5}{5}+\frac{4}{5}}$$

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

$$\frac{4}{9}+\frac{1}{\frac{5+4}{5}}$$

Tāpirihia te 5 ki te 4, ka 9.

$$\frac{4}{9}+\frac{1}{\frac{9}{5}}$$

Whakawehe 1 ki te \frac{9}{5} mā te whakarea 1 ki te tau huripoki o \frac{9}{5}.

$$\frac{4}{9}+1\times \frac{5}{9}$$

Whakareatia te 1 ki te \frac{5}{9}, ka \frac{5}{9}.

$$\frac{4}{9}+\frac{5}{9}$$

Tā te mea he rite te tauraro o \frac{4}{9} me \frac{5}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4+5}{9}$$

Tāpirihia te 4 ki te 5, ka 9.

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

Whakawehea te 9 ki te 9, kia riro ko 1.

$$1$$

Tauwehe

$$1$$