Whakaoti i te 1/2+(-2/3)+4/5+(-1/2)+(-frac{1}{3})

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

Aromātai

$$-\frac{1}{5}=-0.2$$

Ngā Upane Otinga

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

$$\frac{3}{6}-\frac{4}{6}+\frac{4}{5}-\frac{1}{2}-\frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{4}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3-4}{6}+\frac{4}{5}-\frac{1}{2}-\frac{1}{3}$$

Tangohia te 4 i te 3, ka -1.

$$-\frac{1}{6}+\frac{4}{5}-\frac{1}{2}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri -\frac{1}{6} me \frac{4}{5} ki te hautau me te tautūnga 30.

$$-\frac{5}{30}+\frac{24}{30}-\frac{1}{2}-\frac{1}{3}$$

Tā te mea he rite te tauraro o -\frac{5}{30} me \frac{24}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-5+24}{30}-\frac{1}{2}-\frac{1}{3}$$

Tāpirihia te -5 ki te 24, ka 19.

$$\frac{19}{30}-\frac{1}{2}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 30 me 2 ko 30. Me tahuri \frac{19}{30} me \frac{1}{2} ki te hautau me te tautūnga 30.

$$\frac{19}{30}-\frac{15}{30}-\frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{19}{30} me \frac{15}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{19-15}{30}-\frac{1}{3}$$

Tangohia te 15 i te 19, ka 4.

$$\frac{4}{30}-\frac{1}{3}$$

Whakahekea te hautanga \frac{4}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2}{15}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 15 me 3 ko 15. Me tahuri \frac{2}{15} me \frac{1}{3} ki te hautau me te tautūnga 15.

$$\frac{2}{15}-\frac{5}{15}$$

Tā te mea he rite te tauraro o \frac{2}{15} me \frac{5}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2-5}{15}$$

Tangohia te 5 i te 2, ka -3.

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

Whakahekea te hautanga \frac{-3}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

Tauwehe

$$-\frac{1}{5} = -0.2$$