Whakaoti i te 1+2/3+5{1-frac{1/3}}

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

Aromātai

$$\frac{25}{21}\approx 1.19047619$$

Ngā Upane Otinga

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

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

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

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

Tangohia te 1 i te 3, ka 2.

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

Whakawehe 5 ki te \frac{2}{3} mā te whakarea 5 ki te tau huripoki o \frac{2}{3}.

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

Tuhia te 5\times \frac{3}{2} hei hautanga kotahi.

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

Whakareatia te 5 ki te 3, ka 15.

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

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

$$1+\frac{2}{\frac{6}{2}+\frac{15}{2}}$$

Tā te mea he rite te tauraro o \frac{6}{2} me \frac{15}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$1+\frac{2}{\frac{6+15}{2}}$$

Tāpirihia te 6 ki te 15, ka 21.

$$1+\frac{2}{\frac{21}{2}}$$

Whakawehe 2 ki te \frac{21}{2} mā te whakarea 2 ki te tau huripoki o \frac{21}{2}.

$$1+2\times \frac{2}{21}$$

Tuhia te 2\times \frac{2}{21} hei hautanga kotahi.

$$1+\frac{2\times 2}{21}$$

Whakareatia te 2 ki te 2, ka 4.

$$1+\frac{4}{21}$$

Me tahuri te 1 ki te hautau \frac{21}{21}.

$$\frac{21}{21}+\frac{4}{21}$$

Tā te mea he rite te tauraro o \frac{21}{21} me \frac{4}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{21+4}{21}$$

Tāpirihia te 21 ki te 4, ka 25.

$$\frac{25}{21}$$

Tauwehe

$$\frac{5 ^ {2}}{3 \cdot 7} = 1\frac{4}{21} = 1.1904761904761905$$