Whakaoti i te (+1/2)+(+2/3)-(-11/6)

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

Aromātai

$$\frac{7}{3}\approx 2.333333333$$

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.

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

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

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

Tāpirihia te 3 ki te 4, ka 7.

$$\frac{7}{6}-\left(-\frac{1\times 6+1}{6}\right)$$

Whakareatia te 1 ki te 6, ka 6.

$$\frac{7}{6}-\left(-\frac{6+1}{6}\right)$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{7}{6}-\left(-\frac{7}{6}\right)$$

Ko te tauaro o -\frac{7}{6} ko \frac{7}{6}.

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

Tā te mea he rite te tauraro o \frac{7}{6} me \frac{7}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 7 ki te 7, ka 14.

$$\frac{14}{6}$$

Whakahekea te hautanga \frac{14}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{7}{3}$$

Tauwehe

$$\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335$$