Whakaoti i te 5/6+[-1/3-1-(-3/2+11/3-frac{4}{9})-2-frac{7}{18}-1+frac{4}{9}]}

$$\frac { 5 } { 6 } + [ - \frac { 1 } { 3 } - 1 - ( - \frac { 3 } { 2 } + 1 \frac { 1 } { 3 } - \frac { 4 } { 9 } ) - 2 - \frac { 7 } { 18 } - 1 + \frac { 4 } { 9 } ] \}$$

Aromātai

$$-\frac{17}{6}\approx -2.833333333$$

Ngā Upane Otinga

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

$$\frac{5}{6}+-\frac{1}{3}-\frac{3}{3}-\left(-\frac{3}{2}+\frac{1\times 3+1}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

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.

$$\frac{5}{6}+\frac{-1-3}{3}-\left(-\frac{3}{2}+\frac{1\times 3+1}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Tangohia te 3 i te -1, ka -4.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{3}{2}+\frac{1\times 3+1}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{3}{2}+\frac{3+1}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{3}{2}+\frac{4}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri -\frac{3}{2} me \frac{4}{3} ki te hautau me te tautūnga 6.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{9}{6}+\frac{8}{6}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Tā te mea he rite te tauraro o -\frac{9}{6} me \frac{8}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{6}+-\frac{4}{3}-\left(\frac{-9+8}{6}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Tāpirihia te -9 ki te 8, ka -1.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{1}{6}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Ko te maha noa iti rawa atu o 6 me 9 ko 18. Me tahuri -\frac{1}{6} me \frac{4}{9} ki te hautau me te tautūnga 18.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{3}{18}-\frac{8}{18}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Tā te mea he rite te tauraro o -\frac{3}{18} me \frac{8}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5}{6}-\frac{4}{3}-\frac{-3-8}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

Tangohia te 8 i te -3, ka -11.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{11}{18}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

Ko te tauaro o -\frac{11}{18} ko \frac{11}{18}.

$$\frac{5}{6}-\frac{4}{3}+\frac{11}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

Ko te maha noa iti rawa atu o 3 me 18 ko 18. Me tahuri -\frac{4}{3} me \frac{11}{18} ki te hautau me te tautūnga 18.

$$\frac{5}{6}-\frac{24}{18}+\frac{11}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

Tā te mea he rite te tauraro o -\frac{24}{18} me \frac{11}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{6}+\frac{-24+11}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

Tāpirihia te -24 ki te 11, ka -13.

$$\frac{5}{6}-\frac{13}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

Ko te maha noa iti rawa atu o 6 me 18 ko 18. Me tahuri \frac{5}{6} me \frac{13}{18} ki te hautau me te tautūnga 18.

$$\frac{15}{18}-\frac{13}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

Tā te mea he rite te tauraro o \frac{15}{18} me \frac{13}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15-13}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

Tangohia te 13 i te 15, ka 2.

$$\frac{2}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

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

$$\frac{1}{9}-2-\frac{7}{18}-1+\frac{4}{9}$$

Me tahuri te 2 ki te hautau \frac{18}{9}.

$$\frac{1}{9}-\frac{18}{9}-\frac{7}{18}-1+\frac{4}{9}$$

Tā te mea he rite te tauraro o \frac{1}{9} me \frac{18}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-18}{9}-\frac{7}{18}-1+\frac{4}{9}$$

Tangohia te 18 i te 1, ka -17.

$$-\frac{17}{9}-\frac{7}{18}-1+\frac{4}{9}$$

Ko te maha noa iti rawa atu o 9 me 18 ko 18. Me tahuri -\frac{17}{9} me \frac{7}{18} ki te hautau me te tautūnga 18.

$$-\frac{34}{18}-\frac{7}{18}-1+\frac{4}{9}$$

Tā te mea he rite te tauraro o -\frac{34}{18} me \frac{7}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-34-7}{18}-1+\frac{4}{9}$$

Tangohia te 7 i te -34, ka -41.

$$-\frac{41}{18}-1+\frac{4}{9}$$

Me tahuri te 1 ki te hautau \frac{18}{18}.

$$-\frac{41}{18}-\frac{18}{18}+\frac{4}{9}$$

Tā te mea he rite te tauraro o -\frac{41}{18} me \frac{18}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-41-18}{18}+\frac{4}{9}$$

Tangohia te 18 i te -41, ka -59.

$$-\frac{59}{18}+\frac{4}{9}$$

Ko te maha noa iti rawa atu o 18 me 9 ko 18. Me tahuri -\frac{59}{18} me \frac{4}{9} ki te hautau me te tautūnga 18.

$$-\frac{59}{18}+\frac{8}{18}$$

Tā te mea he rite te tauraro o -\frac{59}{18} me \frac{8}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-59+8}{18}$$

Tāpirihia te -59 ki te 8, ka -51.

$$\frac{-51}{18}$$

Whakahekea te hautanga \frac{-51}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{17}{6}$$

Tauwehe

$$-\frac{17}{6} = -2\frac{5}{6} = -2.8333333333333335$$