Whakaoti i te (-1/2)+(+7/3)+(-4/15)+(-2/5)=

$$( - \frac { 1 } { 2 } ) + ( + \frac { 7 } { 3 } ) + ( - \frac { 4 } { 15 } ) + ( - \frac { 2 } { 5 } ) =$$

Aromātai

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

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri -\frac{1}{2} me \frac{7}{3} ki te hautau me te tautūnga 6.

$$-\frac{3}{6}+\frac{14}{6}-\frac{4}{15}-\frac{2}{5}$$

Tā te mea he rite te tauraro o -\frac{3}{6} me \frac{14}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-3+14}{6}-\frac{4}{15}-\frac{2}{5}$$

Tāpirihia te -3 ki te 14, ka 11.

$$\frac{11}{6}-\frac{4}{15}-\frac{2}{5}$$

Ko te maha noa iti rawa atu o 6 me 15 ko 30. Me tahuri \frac{11}{6} me \frac{4}{15} ki te hautau me te tautūnga 30.

$$\frac{55}{30}-\frac{8}{30}-\frac{2}{5}$$

Tā te mea he rite te tauraro o \frac{55}{30} me \frac{8}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{55-8}{30}-\frac{2}{5}$$

Tangohia te 8 i te 55, ka 47.

$$\frac{47}{30}-\frac{2}{5}$$

Ko te maha noa iti rawa atu o 30 me 5 ko 30. Me tahuri \frac{47}{30} me \frac{2}{5} ki te hautau me te tautūnga 30.

$$\frac{47}{30}-\frac{12}{30}$$

Tā te mea he rite te tauraro o \frac{47}{30} me \frac{12}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{47-12}{30}$$

Tangohia te 12 i te 47, ka 35.

$$\frac{35}{30}$$

Whakahekea te hautanga \frac{35}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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

Tauwehe

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