Whakaoti i te (2)4/9div(-22/3)-(-1/2)^2

$$( 2 ) \frac { 4 } { 9 } \div ( - 2 \frac { 2 } { 3 } ) - ( - \frac { 1 } { 2 } ) ^ { 2 }$$

Aromātai

$$-\frac{7}{12}\approx -0.583333333$$

Ngā Upane Otinga

Tuhia te 2\times \frac{4}{9} hei hautanga kotahi.

$$\frac{\frac{2\times 4}{9}}{-\frac{2\times 3+2}{3}}-\left(-\frac{1}{2}\right)^{2}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{\frac{8}{9}}{-\frac{2\times 3+2}{3}}-\left(-\frac{1}{2}\right)^{2}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{\frac{8}{9}}{-\frac{6+2}{3}}-\left(-\frac{1}{2}\right)^{2}$$

Tāpirihia te 6 ki te 2, ka 8.

$$\frac{\frac{8}{9}}{-\frac{8}{3}}-\left(-\frac{1}{2}\right)^{2}$$

Whakawehe \frac{8}{9} ki te -\frac{8}{3} mā te whakarea \frac{8}{9} ki te tau huripoki o -\frac{8}{3}.

$$\frac{8}{9}\left(-\frac{3}{8}\right)-\left(-\frac{1}{2}\right)^{2}$$

Me whakarea te \frac{8}{9} ki te -\frac{3}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8\left(-3\right)}{9\times 8}-\left(-\frac{1}{2}\right)^{2}$$

Me whakakore tahi te 8 i te taurunga me te tauraro.

$$\frac{-3}{9}-\left(-\frac{1}{2}\right)^{2}$$

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

$$-\frac{1}{3}-\left(-\frac{1}{2}\right)^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$-\frac{1}{3}-\frac{1}{4}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri -\frac{1}{3} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$-\frac{4}{12}-\frac{3}{12}$$

Tā te mea he rite te tauraro o -\frac{4}{12} me \frac{3}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-4-3}{12}$$

Tangohia te 3 i te -4, ka -7.

$$-\frac{7}{12}$$

Tauwehe

$$-\frac{7}{12} = -0.5833333333333334$$