Whakaoti i te 51/3-401/3+6251/3+15(27/25)frac{1}{3}

$$5 \frac{ 1 }{ 3 } -40 \frac{ 1 }{ 3 } +625 \frac{ 1 }{ 3 } +15( \frac{ 27 }{ 25 } ) \frac{ 1 }{ 3 }$$

Aromātai

$$\frac{8936}{15}\approx 595.733333333$$

Ngā Upane Otinga

Whakareatia te 5 ki te 3, ka 15.

$$\frac{15+1}{3}-\frac{40\times 3+1}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Tāpirihia te 15 ki te 1, ka 16.

$$\frac{16}{3}-\frac{40\times 3+1}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Whakareatia te 40 ki te 3, ka 120.

$$\frac{16}{3}-\frac{120+1}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Tāpirihia te 120 ki te 1, ka 121.

$$\frac{16}{3}-\frac{121}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{16}{3} me \frac{121}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{16-121}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Tangohia te 121 i te 16, ka -105.

$$\frac{-105}{3}+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Whakawehea te -105 ki te 3, kia riro ko -35.

$$-35+\frac{625\times 3+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Whakareatia te 625 ki te 3, ka 1875.

$$-35+\frac{1875+1}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Tāpirihia te 1875 ki te 1, ka 1876.

$$-35+\frac{1876}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Me tahuri te -35 ki te hautau -\frac{105}{3}.

$$-\frac{105}{3}+\frac{1876}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Tā te mea he rite te tauraro o -\frac{105}{3} me \frac{1876}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-105+1876}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Tāpirihia te -105 ki te 1876, ka 1771.

$$\frac{1771}{3}+15\times \frac{27}{25}\times \frac{1}{3}$$

Tuhia te 15\times \frac{27}{25} hei hautanga kotahi.

$$\frac{1771}{3}+\frac{15\times 27}{25}\times \frac{1}{3}$$

Whakareatia te 15 ki te 27, ka 405.

$$\frac{1771}{3}+\frac{405}{25}\times \frac{1}{3}$$

Whakahekea te hautanga \frac{405}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{1771}{3}+\frac{81}{5}\times \frac{1}{3}$$

Me whakarea te \frac{81}{5} ki te \frac{1}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1771}{3}+\frac{81\times 1}{5\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{81\times 1}{5\times 3}.

$$\frac{1771}{3}+\frac{81}{15}$$

Whakahekea te hautanga \frac{81}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1771}{3}+\frac{27}{5}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{1771}{3} me \frac{27}{5} ki te hautau me te tautūnga 15.

$$\frac{8855}{15}+\frac{81}{15}$$

Tā te mea he rite te tauraro o \frac{8855}{15} me \frac{81}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8855+81}{15}$$

Tāpirihia te 8855 ki te 81, ka 8936.

$$\frac{8936}{15}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 1117}{3 \cdot 5} = 595\frac{11}{15} = 595.7333333333333$$