Whakaoti i te (-3/4)*[-31/2-(-21/3)]

$$( - \frac { 3 } { 4 } ) \times [ - 3 \frac { 1 } { 2 } - ( - 2 \frac { 1 } { 3 } ) ]$$

Aromātai

$$\frac{7}{8}=0.875$$

Ngā Upane Otinga

Whakareatia te 3 ki te 2, ka 6.

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

Tāpirihia te 6 ki te 1, ka 7.

$$-\frac{3}{4}\left(-\frac{7}{2}-\left(-\frac{2\times 3+1}{3}\right)\right)$$

Whakareatia te 2 ki te 3, ka 6.

$$-\frac{3}{4}\left(-\frac{7}{2}-\left(-\frac{6+1}{3}\right)\right)$$

Tāpirihia te 6 ki te 1, ka 7.

$$-\frac{3}{4}\left(-\frac{7}{2}-\left(-\frac{7}{3}\right)\right)$$

Ko te tauaro o -\frac{7}{3} ko \frac{7}{3}.

$$-\frac{3}{4}\left(-\frac{7}{2}+\frac{7}{3}\right)$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri -\frac{7}{2} me \frac{7}{3} ki te hautau me te tautūnga 6.

$$-\frac{3}{4}\left(-\frac{21}{6}+\frac{14}{6}\right)$$

Tā te mea he rite te tauraro o -\frac{21}{6} me \frac{14}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{3}{4}\times \frac{-21+14}{6}$$

Tāpirihia te -21 ki te 14, ka -7.

$$-\frac{3}{4}\left(-\frac{7}{6}\right)$$

Me whakarea te -\frac{3}{4} ki te -\frac{7}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-3\left(-7\right)}{4\times 6}$$

Mahia ngā whakarea i roto i te hautanga \frac{-3\left(-7\right)}{4\times 6}.

$$\frac{21}{24}$$

Whakahekea te hautanga \frac{21}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{7}{8}$$

Tauwehe

$$\frac{7}{2 ^ {3}} = 0.875$$