Whakaoti i te 2+1/2+1{1+frac{1/1}}=61/24

$$2 + \frac { 1 } { 2 + \frac { 1 } { 1 + \frac { 1 } { 1 } } } = \frac { 61 } { 24 }$$

Manatoko

Ngā Upane Otinga

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

$$2+\frac{1}{2+\frac{1}{1+1}}=\frac{61}{24}$$

Tāpirihia te 1 ki te 1, ka 2.

$$2+\frac{1}{2+\frac{1}{2}}=\frac{61}{24}$$

Me tahuri te 2 ki te hautau \frac{4}{2}.

$$2+\frac{1}{\frac{4}{2}+\frac{1}{2}}=\frac{61}{24}$$

Tā te mea he rite te tauraro o \frac{4}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2+\frac{1}{\frac{4+1}{2}}=\frac{61}{24}$$

Tāpirihia te 4 ki te 1, ka 5.

$$2+\frac{1}{\frac{5}{2}}=\frac{61}{24}$$

Whakawehe 1 ki te \frac{5}{2} mā te whakarea 1 ki te tau huripoki o \frac{5}{2}.

$$2+1\times \frac{2}{5}=\frac{61}{24}$$

Whakareatia te 1 ki te \frac{2}{5}, ka \frac{2}{5}.

$$2+\frac{2}{5}=\frac{61}{24}$$

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

$$\frac{10}{5}+\frac{2}{5}=\frac{61}{24}$$

Tā te mea he rite te tauraro o \frac{10}{5} me \frac{2}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{10+2}{5}=\frac{61}{24}$$

Tāpirihia te 10 ki te 2, ka 12.

$$\frac{12}{5}=\frac{61}{24}$$

Ko te maha noa iti rawa atu o 5 me 24 ko 120. Me tahuri \frac{12}{5} me \frac{61}{24} ki te hautau me te tautūnga 120.

$$\frac{288}{120}=\frac{305}{120}$$

Whakatauritea te \frac{288}{120} me te \frac{305}{120}.

$$\text{false}$$