Whakaoti i te 1+4/5(-5/2)^3+2:3/2-2(1/3-frac{3}{4})

$$1 + \frac { 4 } { 5 } ( - \frac { 5 } { 2 } ) ^ { 3 } + 2 : \frac { 3 } { 2 } - 2 ( \frac { 1 } { 3 } - \frac { 3 } { 4 } )$$

Aromātai

$$-\frac{28}{3}\approx -9.333333333$$

Ngā Upane Otinga

Tātaihia te -\frac{5}{2} mā te pū o 3, kia riro ko -\frac{125}{8}.

$$1+\frac{4}{5}\left(-\frac{125}{8}\right)+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Me whakarea te \frac{4}{5} ki te -\frac{125}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$1+\frac{4\left(-125\right)}{5\times 8}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-125\right)}{5\times 8}.

$$1+\frac{-500}{40}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Whakahekea te hautanga \frac{-500}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$1-\frac{25}{2}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$\frac{2}{2}-\frac{25}{2}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Tā te mea he rite te tauraro o \frac{2}{2} me \frac{25}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2-25}{2}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Tangohia te 25 i te 2, ka -23.

$$-\frac{23}{2}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Whakawehe 2 ki te \frac{3}{2} mā te whakarea 2 ki te tau huripoki o \frac{3}{2}.

$$-\frac{23}{2}+2\times \frac{2}{3}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Tuhia te 2\times \frac{2}{3} hei hautanga kotahi.

$$-\frac{23}{2}+\frac{2\times 2}{3}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Whakareatia te 2 ki te 2, ka 4.

$$-\frac{23}{2}+\frac{4}{3}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri -\frac{23}{2} me \frac{4}{3} ki te hautau me te tautūnga 6.

$$-\frac{69}{6}+\frac{8}{6}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Tā te mea he rite te tauraro o -\frac{69}{6} me \frac{8}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-69+8}{6}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Tāpirihia te -69 ki te 8, ka -61.

$$-\frac{61}{6}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

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

$$-\frac{61}{6}-2\left(\frac{4}{12}-\frac{9}{12}\right)$$

Tā te mea he rite te tauraro o \frac{4}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{61}{6}-2\times \frac{4-9}{12}$$

Tangohia te 9 i te 4, ka -5.

$$-\frac{61}{6}-2\left(-\frac{5}{12}\right)$$

Tuhia te 2\left(-\frac{5}{12}\right) hei hautanga kotahi.

$$-\frac{61}{6}-\frac{2\left(-5\right)}{12}$$

Whakareatia te 2 ki te -5, ka -10.

$$-\frac{61}{6}-\frac{-10}{12}$$

Whakahekea te hautanga \frac{-10}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{61}{6}-\left(-\frac{5}{6}\right)$$

Ko te tauaro o -\frac{5}{6} ko \frac{5}{6}.

$$-\frac{61}{6}+\frac{5}{6}$$

Tā te mea he rite te tauraro o -\frac{61}{6} me \frac{5}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-61+5}{6}$$

Tāpirihia te -61 ki te 5, ka -56.

$$\frac{-56}{6}$$

Whakahekea te hautanga \frac{-56}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{28}{3}$$

Tauwehe

$$-\frac{28}{3} = -9\frac{1}{3} = -9.333333333333334$$