Whakaoti i te 1/5+2/3*9*1/9-sqrt{1/3}*sqrt{frac{1}{3}}

$$\frac{ 1 }{ 5 } + \frac{ 2 }{ 3 } \times 9 \times \frac{ 1 }{ 9 } - \sqrt{ \frac{ 1 }{ 3 } } \times \sqrt{ \frac{ 1 }{ 3 } }$$

Aromātai

$$\frac{8}{15}\approx 0.533333333$$

Ngā Upane Otinga

Whakareatia te \sqrt{\frac{1}{3}} ki te \sqrt{\frac{1}{3}}, ka \frac{1}{3}.

$$\frac{1}{5}+\frac{2}{3}\times 9\times \frac{1}{9}-\frac{1}{3}$$

Tuhia te \frac{2}{3}\times 9 hei hautanga kotahi.

$$\frac{1}{5}+\frac{2\times 9}{3}\times \frac{1}{9}-\frac{1}{3}$$

Whakareatia te 2 ki te 9, ka 18.

$$\frac{1}{5}+\frac{18}{3}\times \frac{1}{9}-\frac{1}{3}$$

Whakawehea te 18 ki te 3, kia riro ko 6.

$$\frac{1}{5}+6\times \frac{1}{9}-\frac{1}{3}$$

Whakareatia te 6 ki te \frac{1}{9}, ka \frac{6}{9}.

$$\frac{1}{5}+\frac{6}{9}-\frac{1}{3}$$

Whakahekea te hautanga \frac{6}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{5}+\frac{2}{3}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{1}{5} me \frac{2}{3} ki te hautau me te tautūnga 15.

$$\frac{3}{15}+\frac{10}{15}-\frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{3}{15} me \frac{10}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+10}{15}-\frac{1}{3}$$

Tāpirihia te 3 ki te 10, ka 13.

$$\frac{13}{15}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 15 me 3 ko 15. Me tahuri \frac{13}{15} me \frac{1}{3} ki te hautau me te tautūnga 15.

$$\frac{13}{15}-\frac{5}{15}$$

Tā te mea he rite te tauraro o \frac{13}{15} me \frac{5}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{13-5}{15}$$

Tangohia te 5 i te 13, ka 8.

$$\frac{8}{15}$$

Tauwehe

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$