Whakaoti i te 4/5+2/3*(-12)div(-6)-(-3)^2|+|24+(-3)^3|*(-5)

$$\frac { 4 } { 5 } + \frac { 2 } { 3 } \times ( - 12 ) \div ( - 6 ) - ( - 3 ) ^ { 2 } | + | 24 + ( - 3 ) ^ { 3 } | \times ( - 5 )$$

Aromātai

$$-\frac{1993}{15}\approx -132.866666667$$

Ngā Upane Otinga

Tuhia te \frac{2}{3}\left(-12\right) hei hautanga kotahi.

$$\frac{4}{5}+\frac{\frac{2\left(-12\right)}{3}}{-6}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

Whakareatia te 2 ki te -12, ka -24.

$$\frac{4}{5}+\frac{\frac{-24}{3}}{-6}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

Whakawehea te -24 ki te 3, kia riro ko -8.

$$\frac{4}{5}+\frac{-8}{-6}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

Whakahekea te hautanga \frac{-8}{-6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$\frac{4}{5}+\frac{4}{3}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{4}{5} me \frac{4}{3} ki te hautau me te tautūnga 15.

$$\frac{12}{15}+\frac{20}{15}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

Tā te mea he rite te tauraro o \frac{12}{15} me \frac{20}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{12+20}{15}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

Tāpirihia te 12 ki te 20, ka 32.

$$\frac{32}{15}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

Tātaihia te -3 mā te pū o 2, kia riro ko 9.

$$\frac{32}{15}-9||24+\left(-3\right)^{3}|\left(-5\right)|$$

Tātaihia te -3 mā te pū o 3, kia riro ko -27.

$$\frac{32}{15}-9||24-27|\left(-5\right)|$$

Tangohia te 27 i te 24, ka -3.

$$\frac{32}{15}-9||-3|\left(-5\right)|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -3 ko 3.

$$\frac{32}{15}-9|3\left(-5\right)|$$

Whakareatia te 3 ki te -5, ka -15.

$$\frac{32}{15}-9|-15|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -15 ko 15.

$$\frac{32}{15}-9\times 15$$

Whakareatia te 9 ki te 15, ka 135.

$$\frac{32}{15}-135$$

Me tahuri te 135 ki te hautau \frac{2025}{15}.

$$\frac{32}{15}-\frac{2025}{15}$$

Tā te mea he rite te tauraro o \frac{32}{15} me \frac{2025}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{32-2025}{15}$$

Tangohia te 2025 i te 32, ka -1993.

$$-\frac{1993}{15}$$

Tauwehe

$$-\frac{1993}{15} = -132\frac{13}{15} = -132.86666666666667$$