Whakaoti i te 21/3*(-1/2)-2/3*(-2)div1/5]*(-12)

$$2 \frac { 1 } { 3 } \times ( - \frac { 1 } { 2 } ) - \frac { 2 } { 3 } \times ( - 2 ) \div \frac { 1 } { 5 } ] \times ( - 12 )$$

Aromātai

$$\frac{11}{2}=5.5$$

Ngā Upane Otinga

Whakareatia te 2 ki te 3, ka 6.

$$\frac{6+1}{3}\left(-\frac{1}{2}\right)-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{7}{3}\left(-\frac{1}{2}\right)-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

Me whakarea te \frac{7}{3} ki te -\frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\left(-1\right)}{3\times 2}-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\left(-1\right)}{3\times 2}.

$$\frac{-7}{6}-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

Ka taea te hautanga \frac{-7}{6} te tuhi anō ko -\frac{7}{6} mā te tango i te tohu tōraro.

$$-\frac{7}{6}-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

Tuhia te \frac{2}{3}\left(-2\right) hei hautanga kotahi.

$$-\frac{7}{6}-\frac{\frac{2\left(-2\right)}{3}}{\frac{1}{5}}$$

Whakareatia te 2 ki te -2, ka -4.

$$-\frac{7}{6}-\frac{\frac{-4}{3}}{\frac{1}{5}}$$

Ka taea te hautanga \frac{-4}{3} te tuhi anō ko -\frac{4}{3} mā te tango i te tohu tōraro.

$$-\frac{7}{6}-\frac{-\frac{4}{3}}{\frac{1}{5}}$$

Whakawehe -\frac{4}{3} ki te \frac{1}{5} mā te whakarea -\frac{4}{3} ki te tau huripoki o \frac{1}{5}.

$$-\frac{7}{6}-\left(-\frac{4}{3}\times 5\right)$$

Tuhia te -\frac{4}{3}\times 5 hei hautanga kotahi.

$$-\frac{7}{6}-\frac{-4\times 5}{3}$$

Whakareatia te -4 ki te 5, ka -20.

$$-\frac{7}{6}-\frac{-20}{3}$$

Ka taea te hautanga \frac{-20}{3} te tuhi anō ko -\frac{20}{3} mā te tango i te tohu tōraro.

$$-\frac{7}{6}-\left(-\frac{20}{3}\right)$$

Ko te tauaro o -\frac{20}{3} ko \frac{20}{3}.

$$-\frac{7}{6}+\frac{20}{3}$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri -\frac{7}{6} me \frac{20}{3} ki te hautau me te tautūnga 6.

$$-\frac{7}{6}+\frac{40}{6}$$

Tā te mea he rite te tauraro o -\frac{7}{6} me \frac{40}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-7+40}{6}$$

Tāpirihia te -7 ki te 40, ka 33.

$$\frac{33}{6}$$

Whakahekea te hautanga \frac{33}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{11}{2}$$

Tauwehe

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$