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

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

Aromātai

$$\frac{2}{3}\approx 0.666666667$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{18}{9}.

$$\frac{\frac{1}{9}-\frac{18}{9}+3}{-\frac{1}{3}+2}$$

Tā te mea he rite te tauraro o \frac{1}{9} me \frac{18}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{1-18}{9}+3}{-\frac{1}{3}+2}$$

Tangohia te 18 i te 1, ka -17.

$$\frac{-\frac{17}{9}+3}{-\frac{1}{3}+2}$$

Me tahuri te 3 ki te hautau \frac{27}{9}.

$$\frac{-\frac{17}{9}+\frac{27}{9}}{-\frac{1}{3}+2}$$

Tā te mea he rite te tauraro o -\frac{17}{9} me \frac{27}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-17+27}{9}}{-\frac{1}{3}+2}$$

Tāpirihia te -17 ki te 27, ka 10.

$$\frac{\frac{10}{9}}{-\frac{1}{3}+2}$$

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{\frac{10}{9}}{-\frac{1}{3}+\frac{6}{3}}$$

Tā te mea he rite te tauraro o -\frac{1}{3} me \frac{6}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{10}{9}}{\frac{-1+6}{3}}$$

Tāpirihia te -1 ki te 6, ka 5.

$$\frac{\frac{10}{9}}{\frac{5}{3}}$$

Whakawehe \frac{10}{9} ki te \frac{5}{3} mā te whakarea \frac{10}{9} ki te tau huripoki o \frac{5}{3}.

$$\frac{10}{9}\times \frac{3}{5}$$

Me whakarea te \frac{10}{9} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{10\times 3}{9\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{10\times 3}{9\times 5}.

$$\frac{30}{45}$$

Whakahekea te hautanga \frac{30}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{2}{3}$$

Tauwehe

$$\frac{2}{3} = 0.6666666666666666$$