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

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

Aromātai

$$\frac{10}{9}\approx 1.111111111$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{2}{2}.

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

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

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

Tangohia te 2 i te 1, ka -1.

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

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$\frac{2-\left(-\frac{1}{2}\right)}{2+\frac{\frac{1}{2}}{2}}$$

Ko te tauaro o -\frac{1}{2} ko \frac{1}{2}.

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

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

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

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.

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

Tāpirihia te 4 ki te 1, ka 5.

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

Tuhia te \frac{\frac{1}{2}}{2} hei hautanga kotahi.

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

Whakareatia te 2 ki te 2, ka 4.

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

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{\frac{5}{2}}{\frac{8}{4}+\frac{1}{4}}$$

Tā te mea he rite te tauraro o \frac{8}{4} me \frac{1}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5}{2}}{\frac{8+1}{4}}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{\frac{5}{2}}{\frac{9}{4}}$$

Whakawehe \frac{5}{2} ki te \frac{9}{4} mā te whakarea \frac{5}{2} ki te tau huripoki o \frac{9}{4}.

$$\frac{5}{2}\times \frac{4}{9}$$

Me whakarea te \frac{5}{2} ki te \frac{4}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 4}{2\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 4}{2\times 9}.

$$\frac{20}{18}$$

Whakahekea te hautanga \frac{20}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{10}{9}$$

Tauwehe

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112$$