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

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

Aromātai

$$-\frac{8}{3}\approx -2.666666667$$

Ngā Upane Otinga

Me whakarea te \frac{4}{3} ki te -\frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-5\right)}{3\times 2}.

$$4+\frac{-20}{6}\times 3+\frac{2}{\frac{2}{3}}-2\left(\frac{1}{2}-\frac{2}{3}\right)$$

Whakahekea te hautanga \frac{-20}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$4-\frac{10}{3}\times 3+\frac{2}{\frac{2}{3}}-2\left(\frac{1}{2}-\frac{2}{3}\right)$$

Me whakakore te 3 me te 3.

$$4-10+\frac{2}{\frac{2}{3}}-2\left(\frac{1}{2}-\frac{2}{3}\right)$$

Tangohia te 10 i te 4, ka -6.

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

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

$$-6+2\times \frac{3}{2}-2\left(\frac{1}{2}-\frac{2}{3}\right)$$

Me whakakore te 2 me te 2.

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

Tāpirihia te -6 ki te 3, ka -3.

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

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{2}{3} ki te hautau me te tautūnga 6.

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

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{4}{6}, me tango rāua mā te tango i ō raua taurunga.

$$-3-2\times \frac{3-4}{6}$$

Tangohia te 4 i te 3, ka -1.

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

Tuhia te 2\left(-\frac{1}{6}\right) hei hautanga kotahi.

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

Whakareatia te 2 ki te -1, ka -2.

$$-3-\frac{-2}{6}$$

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

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

Ko te tauaro o -\frac{1}{3} ko \frac{1}{3}.

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

Me tahuri te -3 ki te hautau -\frac{9}{3}.

$$-\frac{9}{3}+\frac{1}{3}$$

Tā te mea he rite te tauraro o -\frac{9}{3} me \frac{1}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-9+1}{3}$$

Tāpirihia te -9 ki te 1, ka -8.

$$-\frac{8}{3}$$

Tauwehe

$$-\frac{8}{3} = -2\frac{2}{3} = -2.6666666666666665$$