Whakaoti i te 15div(-3/2+5/6)

$$15 \div ( - \frac { 3 } { 2 } + \frac { 5 } { 6 } )$$

Aromātai

$$-\frac{45}{2}=-22.5$$

Ngā Upane Otinga

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

$$\frac{15}{-\frac{9}{6}+\frac{5}{6}}$$

Tā te mea he rite te tauraro o -\frac{9}{6} me \frac{5}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{15}{\frac{-9+5}{6}}$$

Tāpirihia te -9 ki te 5, ka -4.

$$\frac{15}{\frac{-4}{6}}$$

Whakahekea te hautanga \frac{-4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{15}{-\frac{2}{3}}$$

Whakawehe 15 ki te -\frac{2}{3} mā te whakarea 15 ki te tau huripoki o -\frac{2}{3}.

$$15\left(-\frac{3}{2}\right)$$

Tuhia te 15\left(-\frac{3}{2}\right) hei hautanga kotahi.

$$\frac{15\left(-3\right)}{2}$$

Whakareatia te 15 ki te -3, ka -45.

$$\frac{-45}{2}$$

Ka taea te hautanga \frac{-45}{2} te tuhi anō ko -\frac{45}{2} mā te tango i te tohu tōraro.

$$-\frac{45}{2}$$

Tauwehe

$$-\frac{45}{2} = -22\frac{1}{2} = -22.5$$