Whakaoti i te θ=101/2(31/2)-1

$$\theta = 10 \frac { 1 } { 2 } ( 3 \frac { 1 } { 2 } ) - 1$$

Whakaoti mō θ

$$\theta =\frac{143}{4}=35.75$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 10 ki te 2, ka 20.

$$\theta =\frac{20+1}{2}\times \frac{3\times 2+1}{2}-1$$

Tāpirihia te 20 ki te 1, ka 21.

$$\theta =\frac{21}{2}\times \frac{3\times 2+1}{2}-1$$

Whakareatia te 3 ki te 2, ka 6.

$$\theta =\frac{21}{2}\times \frac{6+1}{2}-1$$

Tāpirihia te 6 ki te 1, ka 7.

$$\theta =\frac{21}{2}\times \frac{7}{2}-1$$

Me whakarea te \frac{21}{2} ki te \frac{7}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\theta =\frac{21\times 7}{2\times 2}-1$$

Mahia ngā whakarea i roto i te hautanga \frac{21\times 7}{2\times 2}.

$$\theta =\frac{147}{4}-1$$

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

$$\theta =\frac{147}{4}-\frac{4}{4}$$

Tā te mea he rite te tauraro o \frac{147}{4} me \frac{4}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\theta =\frac{147-4}{4}$$

Tangohia te 4 i te 147, ka 143.

$$\theta =\frac{143}{4}$$

Tautapa θ

$$\theta ≔\frac{143}{4}$$