Whakaoti i te 2/3*(2-51/2div214/15)

$$\frac{ 2 }{ 3 } \times (2- 5 \frac { 1 } { 2 } \div 2 \frac { 14 } { 15 } )$$

Aromātai

$$\frac{1}{12}\approx 0.083333333$$

Ngā Upane Otinga

Whakawehe \frac{5\times 2+1}{2} ki te \frac{2\times 15+14}{15} mā te whakarea \frac{5\times 2+1}{2} ki te tau huripoki o \frac{2\times 15+14}{15}.

$$\frac{2}{3}\left(2-\frac{\left(5\times 2+1\right)\times 15}{2\left(2\times 15+14\right)}\right)$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{2}{3}\left(2-\frac{\left(10+1\right)\times 15}{2\left(2\times 15+14\right)}\right)$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{2}{3}\left(2-\frac{11\times 15}{2\left(2\times 15+14\right)}\right)$$

Whakareatia te 11 ki te 15, ka 165.

$$\frac{2}{3}\left(2-\frac{165}{2\left(2\times 15+14\right)}\right)$$

Whakareatia te 2 ki te 15, ka 30.

$$\frac{2}{3}\left(2-\frac{165}{2\left(30+14\right)}\right)$$

Tāpirihia te 30 ki te 14, ka 44.

$$\frac{2}{3}\left(2-\frac{165}{2\times 44}\right)$$

Whakareatia te 2 ki te 44, ka 88.

$$\frac{2}{3}\left(2-\frac{165}{88}\right)$$

Whakahekea te hautanga \frac{165}{88} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$\frac{2}{3}\left(2-\frac{15}{8}\right)$$

Me tahuri te 2 ki te hautau \frac{16}{8}.

$$\frac{2}{3}\left(\frac{16}{8}-\frac{15}{8}\right)$$

Tā te mea he rite te tauraro o \frac{16}{8} me \frac{15}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2}{3}\times \frac{16-15}{8}$$

Tangohia te 15 i te 16, ka 1.

$$\frac{2}{3}\times \frac{1}{8}$$

Me whakarea te \frac{2}{3} ki te \frac{1}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2\times 1}{3\times 8}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 1}{3\times 8}.

$$\frac{2}{24}$$

Whakahekea te hautanga \frac{2}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{12}$$

Tauwehe

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$