Whakaoti i te (-11/14)+(+4/7)-(-11/2)

$$( - \frac { 11 } { 14 } ) + ( + \frac { 4 } { 7 } ) - ( - 1 \frac { 1 } { 2 } )$$

Aromātai

$$\frac{9}{7}\approx 1.285714286$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 14 me 7 ko 14. Me tahuri -\frac{11}{14} me \frac{4}{7} ki te hautau me te tautūnga 14.

$$-\frac{11}{14}+\frac{8}{14}-\left(-\frac{1\times 2+1}{2}\right)$$

Tā te mea he rite te tauraro o -\frac{11}{14} me \frac{8}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-11+8}{14}-\left(-\frac{1\times 2+1}{2}\right)$$

Tāpirihia te -11 ki te 8, ka -3.

$$-\frac{3}{14}-\left(-\frac{1\times 2+1}{2}\right)$$

Whakareatia te 1 ki te 2, ka 2.

$$-\frac{3}{14}-\left(-\frac{2+1}{2}\right)$$

Tāpirihia te 2 ki te 1, ka 3.

$$-\frac{3}{14}-\left(-\frac{3}{2}\right)$$

Ko te tauaro o -\frac{3}{2} ko \frac{3}{2}.

$$-\frac{3}{14}+\frac{3}{2}$$

Ko te maha noa iti rawa atu o 14 me 2 ko 14. Me tahuri -\frac{3}{14} me \frac{3}{2} ki te hautau me te tautūnga 14.

$$-\frac{3}{14}+\frac{21}{14}$$

Tā te mea he rite te tauraro o -\frac{3}{14} me \frac{21}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-3+21}{14}$$

Tāpirihia te -3 ki te 21, ka 18.

$$\frac{18}{14}$$

Whakahekea te hautanga \frac{18}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{9}{7}$$

Tauwehe

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858$$