Whakaoti i te -5/6+12/3div(-3/7)

$$- \frac{ 5 }{ 6 } +1 \frac{ 2 }{ 3 } \div (- \frac{ 3 }{ 7 } )$$

Aromātai

$$-\frac{85}{18}\approx -4.722222222$$

Ngā Upane Otinga

Whakawehe \frac{1\times 3+2}{3} ki te -\frac{3}{7} mā te whakarea \frac{1\times 3+2}{3} ki te tau huripoki o -\frac{3}{7}.

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

Whakareatia te 1 ki te 3, ka 3.

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

Tāpirihia te 3 ki te 2, ka 5.

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

Whakareatia te 5 ki te 7, ka 35.

$$-\frac{5}{6}+\frac{35}{3\left(-3\right)}$$

Whakareatia te 3 ki te -3, ka -9.

$$-\frac{5}{6}+\frac{35}{-9}$$

Ka taea te hautanga \frac{35}{-9} te tuhi anō ko -\frac{35}{9} mā te tango i te tohu tōraro.

$$-\frac{5}{6}-\frac{35}{9}$$

Ko te maha noa iti rawa atu o 6 me 9 ko 18. Me tahuri -\frac{5}{6} me \frac{35}{9} ki te hautau me te tautūnga 18.

$$-\frac{15}{18}-\frac{70}{18}$$

Tā te mea he rite te tauraro o -\frac{15}{18} me \frac{70}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-15-70}{18}$$

Tangohia te 70 i te -15, ka -85.

$$-\frac{85}{18}$$

Tauwehe

$$-\frac{85}{18} = -4\frac{13}{18} = -4.722222222222222$$