Whakaoti i te -1/2+(-1/6)-(-1/4)-(+2/3)

$$- \frac { 1 } { 2 } + ( - \frac { 1 } { 6 } ) - ( - \frac { 1 } { 4 } ) - ( + \frac { 2 } { 3 } )$$

Aromātai

$$-\frac{13}{12}\approx -1.083333333$$

Ngā Upane Otinga

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

$$-\frac{3}{6}-\frac{1}{6}-\left(-\frac{1}{4}\right)-\frac{2}{3}$$

Tā te mea he rite te tauraro o -\frac{3}{6} me \frac{1}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-3-1}{6}-\left(-\frac{1}{4}\right)-\frac{2}{3}$$

Tangohia te 1 i te -3, ka -4.

$$\frac{-4}{6}-\left(-\frac{1}{4}\right)-\frac{2}{3}$$

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

$$-\frac{2}{3}-\left(-\frac{1}{4}\right)-\frac{2}{3}$$

Ko te tauaro o -\frac{1}{4} ko \frac{1}{4}.

$$-\frac{2}{3}+\frac{1}{4}-\frac{2}{3}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri -\frac{2}{3} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$-\frac{8}{12}+\frac{3}{12}-\frac{2}{3}$$

Tā te mea he rite te tauraro o -\frac{8}{12} me \frac{3}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-8+3}{12}-\frac{2}{3}$$

Tāpirihia te -8 ki te 3, ka -5.

$$-\frac{5}{12}-\frac{2}{3}$$

Ko te maha noa iti rawa atu o 12 me 3 ko 12. Me tahuri -\frac{5}{12} me \frac{2}{3} ki te hautau me te tautūnga 12.

$$-\frac{5}{12}-\frac{8}{12}$$

Tā te mea he rite te tauraro o -\frac{5}{12} me \frac{8}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-5-8}{12}$$

Tangohia te 8 i te -5, ka -13.

$$-\frac{13}{12}$$

Tauwehe

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$