Whakaoti i te 2/3-8*[4-6(2/5-8)]

$$\frac { 2 } { 3 } - 8 \cdot [ 4 - 6 ( \frac { 2 } { 5 } - 8 ) ]$$

Aromātai

$$-\frac{5942}{15}\approx -396.133333333$$

Ngā Upane Otinga

Me tahuri te 8 ki te hautau \frac{40}{5}.

$$\frac{2}{3}-8\left(4-6\left(\frac{2}{5}-\frac{40}{5}\right)\right)$$

Tā te mea he rite te tauraro o \frac{2}{5} me \frac{40}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2}{3}-8\left(4-6\times \frac{2-40}{5}\right)$$

Tangohia te 40 i te 2, ka -38.

$$\frac{2}{3}-8\left(4-6\left(-\frac{38}{5}\right)\right)$$

Tuhia te 6\left(-\frac{38}{5}\right) hei hautanga kotahi.

$$\frac{2}{3}-8\left(4-\frac{6\left(-38\right)}{5}\right)$$

Whakareatia te 6 ki te -38, ka -228.

$$\frac{2}{3}-8\left(4-\frac{-228}{5}\right)$$

Ka taea te hautanga \frac{-228}{5} te tuhi anō ko -\frac{228}{5} mā te tango i te tohu tōraro.

$$\frac{2}{3}-8\left(4-\left(-\frac{228}{5}\right)\right)$$

Ko te tauaro o -\frac{228}{5} ko \frac{228}{5}.

$$\frac{2}{3}-8\left(4+\frac{228}{5}\right)$$

Me tahuri te 4 ki te hautau \frac{20}{5}.

$$\frac{2}{3}-8\left(\frac{20}{5}+\frac{228}{5}\right)$$

Tā te mea he rite te tauraro o \frac{20}{5} me \frac{228}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2}{3}-8\times \frac{20+228}{5}$$

Tāpirihia te 20 ki te 228, ka 248.

$$\frac{2}{3}-8\times \frac{248}{5}$$

Tuhia te 8\times \frac{248}{5} hei hautanga kotahi.

$$\frac{2}{3}-\frac{8\times 248}{5}$$

Whakareatia te 8 ki te 248, ka 1984.

$$\frac{2}{3}-\frac{1984}{5}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{2}{3} me \frac{1984}{5} ki te hautau me te tautūnga 15.

$$\frac{10}{15}-\frac{5952}{15}$$

Tā te mea he rite te tauraro o \frac{10}{15} me \frac{5952}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10-5952}{15}$$

Tangohia te 5952 i te 10, ka -5942.

$$-\frac{5942}{15}$$

Tauwehe

$$-\frac{5942}{15} = -396\frac{2}{15} = -396.1333333333333$$