Whakaoti i te -41/6-07+28/9div(-7/12)

$$- 4 \frac { 1 } { 6 } - \frac { 07 + 28 } { 9 } \div ( - \frac { 7 } { 12 } )$$

Aromātai

$$\frac{7}{6}\approx 1.166666667$$

Ngā Upane Otinga

Whakareatia te 4 ki te 6, ka 24.

$$-\frac{24+1}{6}-\frac{\frac{0\times 7+28}{9}}{-\frac{7}{12}}$$

Tāpirihia te 24 ki te 1, ka 25.

$$-\frac{25}{6}-\frac{\frac{0\times 7+28}{9}}{-\frac{7}{12}}$$

Whakawehe \frac{0\times 7+28}{9} ki te -\frac{7}{12} mā te whakarea \frac{0\times 7+28}{9} ki te tau huripoki o -\frac{7}{12}.

$$-\frac{25}{6}-\frac{\left(0\times 7+28\right)\times 12}{9\left(-7\right)}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$-\frac{25}{6}-\frac{4\times 28}{-7\times 3}$$

Whakareatia te 4 ki te 28, ka 112.

$$-\frac{25}{6}-\frac{112}{-7\times 3}$$

Whakareatia te -7 ki te 3, ka -21.

$$-\frac{25}{6}-\frac{112}{-21}$$

Whakahekea te hautanga \frac{112}{-21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$-\frac{25}{6}-\left(-\frac{16}{3}\right)$$

Ko te tauaro o -\frac{16}{3} ko \frac{16}{3}.

$$-\frac{25}{6}+\frac{16}{3}$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri -\frac{25}{6} me \frac{16}{3} ki te hautau me te tautūnga 6.

$$-\frac{25}{6}+\frac{32}{6}$$

Tā te mea he rite te tauraro o -\frac{25}{6} me \frac{32}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-25+32}{6}$$

Tāpirihia te -25 ki te 32, ka 7.

$$\frac{7}{6}$$

Tauwehe

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$