Whakaoti i te 2/3*(2-51/2div24/4/15)

$$\frac { 2 } { 3 } \times ( 2 - 5 \frac { 1 } { 2 } \div 2 \frac { 4 / 4 } { 15 } )$$

Aromātai

$$\frac{109}{90}\approx 1.211111111$$

Ngā Upane Otinga

Whakawehea te 4 ki te 4, kia riro ko 1.

$$\frac{2}{3}\left(2-\frac{\frac{5\times 2+1}{2}}{2}\times \frac{1}{15}\right)$$

Tuhia te \frac{\frac{5\times 2+1}{2}}{2} hei hautanga kotahi.

$$\frac{2}{3}\left(2-\frac{5\times 2+1}{2\times 2}\times \frac{1}{15}\right)$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{2}{3}\left(2-\frac{10+1}{2\times 2}\times \frac{1}{15}\right)$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{2}{3}\left(2-\frac{11}{2\times 2}\times \frac{1}{15}\right)$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{2}{3}\left(2-\frac{11}{4}\times \frac{1}{15}\right)$$

Me whakarea te \frac{11}{4} ki te \frac{1}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2}{3}\left(2-\frac{11\times 1}{4\times 15}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{11\times 1}{4\times 15}.

$$\frac{2}{3}\left(2-\frac{11}{60}\right)$$

Me tahuri te 2 ki te hautau \frac{120}{60}.

$$\frac{2}{3}\left(\frac{120}{60}-\frac{11}{60}\right)$$

Tā te mea he rite te tauraro o \frac{120}{60} me \frac{11}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2}{3}\times \frac{120-11}{60}$$

Tangohia te 11 i te 120, ka 109.

$$\frac{2}{3}\times \frac{109}{60}$$

Me whakarea te \frac{2}{3} ki te \frac{109}{60} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2\times 109}{3\times 60}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 109}{3\times 60}.

$$\frac{218}{180}$$

Whakahekea te hautanga \frac{218}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{109}{90}$$

Tauwehe

$$\frac{109}{2 \cdot 3 ^ {2} \cdot 5} = 1\frac{19}{90} = 1.211111111111111$$