Whakaoti i te 1+-3/2-5/-3

$$1+ \frac{ -3 }{ 2 } - \frac{ 5 }{ -3 }$$

Aromātai

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

Ngā Upane Otinga

Ka taea te hautanga \frac{-3}{2} te tuhi anō ko -\frac{3}{2} mā te tango i te tohu tōraro.

$$1-\frac{3}{2}-\frac{5}{-3}$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$\frac{2}{2}-\frac{3}{2}-\frac{5}{-3}$$

Tā te mea he rite te tauraro o \frac{2}{2} me \frac{3}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2-3}{2}-\frac{5}{-3}$$

Tangohia te 3 i te 2, ka -1.

$$-\frac{1}{2}-\frac{5}{-3}$$

Ka taea te hautanga \frac{5}{-3} te tuhi anō ko -\frac{5}{3} mā te tango i te tohu tōraro.

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

Ko te tauaro o -\frac{5}{3} ko \frac{5}{3}.

$$-\frac{1}{2}+\frac{5}{3}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri -\frac{1}{2} me \frac{5}{3} ki te hautau me te tautūnga 6.

$$-\frac{3}{6}+\frac{10}{6}$$

Tā te mea he rite te tauraro o -\frac{3}{6} me \frac{10}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-3+10}{6}$$

Tāpirihia te -3 ki te 10, ka 7.

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

Tauwehe

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