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

$$-\frac{31}{18}\approx -1.722222222$$

Ngā Upane Otinga

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

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

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.

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

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

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

Whakareatia te 1 ki te 3, ka 3.

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

Tāpirihia te 3 ki te 1, ka 4.

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

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.

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

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.

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

Tāpirihia te -9 ki te 8, ka -1.

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

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.

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

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.

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

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

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

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

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

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.

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

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.

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

Tāpirihia te -24 ki te 11, ka -13.

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

Me tahuri te 2 ki te hautau \frac{36}{18}.

$$\frac{5}{6}+-\frac{13}{18}-\frac{36}{18}-\left(\frac{7}{18}-1+\frac{4}{9}\right)$$

Tā te mea he rite te tauraro o -\frac{13}{18} me \frac{36}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5}{6}+\frac{-13-36}{18}-\left(\frac{7}{18}-1+\frac{4}{9}\right)$$

Tangohia te 36 i te -13, ka -49.

$$\frac{5}{6}+-\frac{49}{18}-\left(\frac{7}{18}-1+\frac{4}{9}\right)$$

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

$$\frac{5}{6}+-\frac{49}{18}-\left(\frac{7}{18}-\frac{18}{18}+\frac{4}{9}\right)$$

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

$$\frac{5}{6}+-\frac{49}{18}-\left(\frac{7-18}{18}+\frac{4}{9}\right)$$

Tangohia te 18 i te 7, ka -11.

$$\frac{5}{6}+-\frac{49}{18}-\left(-\frac{11}{18}+\frac{4}{9}\right)$$

Ko te maha noa iti rawa atu o 18 me 9 ko 18. Me tahuri -\frac{11}{18} me \frac{4}{9} ki te hautau me te tautūnga 18.

$$\frac{5}{6}+-\frac{49}{18}-\left(-\frac{11}{18}+\frac{8}{18}\right)$$

Tā te mea he rite te tauraro o -\frac{11}{18} me \frac{8}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{6}-\frac{49}{18}-\frac{-11+8}{18}$$

Tāpirihia te -11 ki te 8, ka -3.

$$\frac{5}{6}-\frac{49}{18}-\frac{-3}{18}$$

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

$$\frac{5}{6}+-\frac{49}{18}-\left(-\frac{1}{6}\right)$$

Ko te tauaro o -\frac{1}{6} ko \frac{1}{6}.

$$\frac{5}{6}-\frac{49}{18}+\frac{1}{6}$$

Ko te maha noa iti rawa atu o 18 me 6 ko 18. Me tahuri -\frac{49}{18} me \frac{1}{6} ki te hautau me te tautūnga 18.

$$\frac{5}{6}-\frac{49}{18}+\frac{3}{18}$$

Tā te mea he rite te tauraro o -\frac{49}{18} me \frac{3}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{6}+\frac{-49+3}{18}$$

Tāpirihia te -49 ki te 3, ka -46.

$$\frac{5}{6}+\frac{-46}{18}$$

Whakahekea te hautanga \frac{-46}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{6}-\frac{23}{9}$$

Ko te maha noa iti rawa atu o 6 me 9 ko 18. Me tahuri \frac{5}{6} me \frac{23}{9} ki te hautau me te tautūnga 18.

$$\frac{15}{18}-\frac{46}{18}$$

Tā te mea he rite te tauraro o \frac{15}{18} me \frac{46}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15-46}{18}$$

Tangohia te 46 i te 15, ka -31.

$$-\frac{31}{18}$$

Tauwehe

$$-\frac{31}{18} = -1\frac{13}{18} = -1.7222222222222223$$