Whakaoti i te [(-32/3)div(-14/7)]-1/9

$$[ ( - 3 \frac { 2 } { 3 } ) \div ( - 1 \frac { 4 } { 7 } ) ] - \frac { 1 } { 9 }$$

Aromātai

$$\frac{20}{9}\approx 2.222222222$$

Ngā Upane Otinga

Whakareatia te 3 ki te 3, ka 9.

$$\frac{-\frac{9+2}{3}}{-\frac{1\times 7+4}{7}}-\frac{1}{9}$$

Tāpirihia te 9 ki te 2, ka 11.

$$\frac{-\frac{11}{3}}{-\frac{1\times 7+4}{7}}-\frac{1}{9}$$

Whakareatia te 1 ki te 7, ka 7.

$$\frac{-\frac{11}{3}}{-\frac{7+4}{7}}-\frac{1}{9}$$

Tāpirihia te 7 ki te 4, ka 11.

$$\frac{-\frac{11}{3}}{-\frac{11}{7}}-\frac{1}{9}$$

Whakawehe -\frac{11}{3} ki te -\frac{11}{7} mā te whakarea -\frac{11}{3} ki te tau huripoki o -\frac{11}{7}.

$$-\frac{11}{3}\left(-\frac{7}{11}\right)-\frac{1}{9}$$

Me whakarea te -\frac{11}{3} ki te -\frac{7}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-11\left(-7\right)}{3\times 11}-\frac{1}{9}$$

Mahia ngā whakarea i roto i te hautanga \frac{-11\left(-7\right)}{3\times 11}.

$$\frac{77}{33}-\frac{1}{9}$$

Whakahekea te hautanga \frac{77}{33} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$\frac{7}{3}-\frac{1}{9}$$

Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri \frac{7}{3} me \frac{1}{9} ki te hautau me te tautūnga 9.

$$\frac{21}{9}-\frac{1}{9}$$

Tā te mea he rite te tauraro o \frac{21}{9} me \frac{1}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{21-1}{9}$$

Tangohia te 1 i te 21, ka 20.

$$\frac{20}{9}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$