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

$$-\frac{122}{15}\approx -8.133333333$$

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.

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

Me tahuri te 9 ki te hautau \frac{135}{15}.

$$|\frac{32}{15}-\frac{135}{15}|+|24+\left(-3\right)^{3}|\left(-5\right)$$

Tā te mea he rite te tauraro o \frac{32}{15} me \frac{135}{15}, me tango rāua mā te tango i ō raua taurunga.

$$|\frac{32-135}{15}|+|24+\left(-3\right)^{3}|\left(-5\right)$$

Tangohia te 135 i te 32, ka -103.

$$|-\frac{103}{15}|+|24+\left(-3\right)^{3}|\left(-5\right)$$

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 -\frac{103}{15} ko \frac{103}{15}.

$$\frac{103}{15}+|24+\left(-3\right)^{3}|\left(-5\right)$$

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

$$\frac{103}{15}+|24-27|\left(-5\right)$$

Tangohia te 27 i te 24, ka -3.

$$\frac{103}{15}+|-3|\left(-5\right)$$

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.

$$\frac{103}{15}+3\left(-5\right)$$

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

$$\frac{103}{15}-15$$

Me tahuri te 15 ki te hautau \frac{225}{15}.

$$\frac{103}{15}-\frac{225}{15}$$

Tā te mea he rite te tauraro o \frac{103}{15} me \frac{225}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{103-225}{15}$$

Tangohia te 225 i te 103, ka -122.

$$-\frac{122}{15}$$

Tauwehe

$$-\frac{122}{15} = -8\frac{2}{15} = -8.133333333333333$$