Whakaoti i te -1-{-1/2+3/4+[-2+5/6-(1/3-1)]-frac{1}{6}}-frac{1}{3}

$$- 1 - \{ - \frac { 1 } { 2 } + \frac { 3 } { 4 } + [ - 2 + \frac { 5 } { 6 } - ( \frac { 1 } { 3 } - 1 ) ] - \frac { 1 } { 6 } \} - \frac { 1 } { 3 }$$

Aromātai

$$-\frac{11}{12}\approx -0.916666667$$

Ngā Upane Otinga

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

$$-1-\left(-\frac{2}{4}+\frac{3}{4}+-2+\frac{5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

Tā te mea he rite te tauraro o -\frac{2}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-1-\left(\frac{-2+3}{4}+-2+\frac{5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

Tāpirihia te -2 ki te 3, ka 1.

$$-1-\left(\frac{1}{4}+-2+\frac{5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

Me tahuri te -2 ki te hautau -\frac{12}{6}.

$$-1-\left(\frac{1}{4}+-\frac{12}{6}+\frac{5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

Tā te mea he rite te tauraro o -\frac{12}{6} me \frac{5}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-1-\left(\frac{1}{4}+\frac{-12+5}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

Tāpirihia te -12 ki te 5, ka -7.

$$-1-\left(\frac{1}{4}+-\frac{7}{6}-\left(\frac{1}{3}-1\right)-\frac{1}{6}\right)-\frac{1}{3}$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$-1-\left(\frac{1}{4}+-\frac{7}{6}-\left(\frac{1}{3}-\frac{3}{3}\right)-\frac{1}{6}\right)-\frac{1}{3}$$

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

$$-1-\left(\frac{1}{4}-\frac{7}{6}-\frac{1-3}{3}-\frac{1}{6}\right)-\frac{1}{3}$$

Tangohia te 3 i te 1, ka -2.

$$-1-\left(\frac{1}{4}+-\frac{7}{6}-\left(-\frac{2}{3}\right)-\frac{1}{6}\right)-\frac{1}{3}$$

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

$$-1-\left(\frac{1}{4}-\frac{7}{6}+\frac{2}{3}-\frac{1}{6}\right)-\frac{1}{3}$$

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

$$-1-\left(\frac{1}{4}-\frac{7}{6}+\frac{4}{6}-\frac{1}{6}\right)-\frac{1}{3}$$

Tā te mea he rite te tauraro o -\frac{7}{6} me \frac{4}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-1-\left(\frac{1}{4}+\frac{-7+4}{6}-\frac{1}{6}\right)-\frac{1}{3}$$

Tāpirihia te -7 ki te 4, ka -3.

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

Whakahekea te hautanga \frac{-3}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

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

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

Tā te mea he rite te tauraro o \frac{1}{4} me \frac{2}{4}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 2 i te 1, ka -1.

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

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri -\frac{1}{4} me \frac{1}{6} ki te hautau me te tautūnga 12.

$$-1-\left(-\frac{3}{12}-\frac{2}{12}\right)-\frac{1}{3}$$

Tā te mea he rite te tauraro o -\frac{3}{12} me \frac{2}{12}, me tango rāua mā te tango i ō raua taurunga.

$$-1-\frac{-3-2}{12}-\frac{1}{3}$$

Tangohia te 2 i te -3, ka -5.

$$-1-\left(-\frac{5}{12}\right)-\frac{1}{3}$$

Ko te tauaro o -\frac{5}{12} ko \frac{5}{12}.

$$-1+\frac{5}{12}-\frac{1}{3}$$

Me tahuri te -1 ki te hautau -\frac{12}{12}.

$$-\frac{12}{12}+\frac{5}{12}-\frac{1}{3}$$

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

$$\frac{-12+5}{12}-\frac{1}{3}$$

Tāpirihia te -12 ki te 5, ka -7.

$$-\frac{7}{12}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 12 me 3 ko 12. Me tahuri -\frac{7}{12} me \frac{1}{3} ki te hautau me te tautūnga 12.

$$-\frac{7}{12}-\frac{4}{12}$$

Tā te mea he rite te tauraro o -\frac{7}{12} me \frac{4}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-7-4}{12}$$

Tangohia te 4 i te -7, ka -11.

$$-\frac{11}{12}$$

Tauwehe

$$-\frac{11}{12} = -0.9166666666666666$$