Whakaoti i te -35/6-24/9+813/24-211/12-3frac{2}{9}-4frac{5}{24}

$$-3 \frac{ 5 }{ 6 } -2 \frac{ 4 }{ 9 } +8 \frac{ 13 }{ 24 } -2 \frac{ 11 }{ 12 } -3 \frac{ 2 }{ 9 } -4 \frac{ 5 }{ 24 }$$

Aromātai

$$-\frac{97}{12}\approx -8.083333333$$

Ngā Upane Otinga

Whakareatia te 3 ki te 6, ka 18.

$$-\frac{18+5}{6}-\frac{2\times 9+4}{9}+\frac{8\times 24+13}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tāpirihia te 18 ki te 5, ka 23.

$$-\frac{23}{6}-\frac{2\times 9+4}{9}+\frac{8\times 24+13}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Whakareatia te 2 ki te 9, ka 18.

$$-\frac{23}{6}-\frac{18+4}{9}+\frac{8\times 24+13}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tāpirihia te 18 ki te 4, ka 22.

$$-\frac{23}{6}-\frac{22}{9}+\frac{8\times 24+13}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Ko te maha noa iti rawa atu o 6 me 9 ko 18. Me tahuri -\frac{23}{6} me \frac{22}{9} ki te hautau me te tautūnga 18.

$$-\frac{69}{18}-\frac{44}{18}+\frac{8\times 24+13}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tā te mea he rite te tauraro o -\frac{69}{18} me \frac{44}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-69-44}{18}+\frac{8\times 24+13}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tangohia te 44 i te -69, ka -113.

$$-\frac{113}{18}+\frac{8\times 24+13}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Whakareatia te 8 ki te 24, ka 192.

$$-\frac{113}{18}+\frac{192+13}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tāpirihia te 192 ki te 13, ka 205.

$$-\frac{113}{18}+\frac{205}{24}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Ko te maha noa iti rawa atu o 18 me 24 ko 72. Me tahuri -\frac{113}{18} me \frac{205}{24} ki te hautau me te tautūnga 72.

$$-\frac{452}{72}+\frac{615}{72}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tā te mea he rite te tauraro o -\frac{452}{72} me \frac{615}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-452+615}{72}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tāpirihia te -452 ki te 615, ka 163.

$$\frac{163}{72}-\frac{2\times 12+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Whakareatia te 2 ki te 12, ka 24.

$$\frac{163}{72}-\frac{24+11}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tāpirihia te 24 ki te 11, ka 35.

$$\frac{163}{72}-\frac{35}{12}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Ko te maha noa iti rawa atu o 72 me 12 ko 72. Me tahuri \frac{163}{72} me \frac{35}{12} ki te hautau me te tautūnga 72.

$$\frac{163}{72}-\frac{210}{72}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tā te mea he rite te tauraro o \frac{163}{72} me \frac{210}{72}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{163-210}{72}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Tangohia te 210 i te 163, ka -47.

$$-\frac{47}{72}-\frac{3\times 9+2}{9}-\frac{4\times 24+5}{24}$$

Whakareatia te 3 ki te 9, ka 27.

$$-\frac{47}{72}-\frac{27+2}{9}-\frac{4\times 24+5}{24}$$

Tāpirihia te 27 ki te 2, ka 29.

$$-\frac{47}{72}-\frac{29}{9}-\frac{4\times 24+5}{24}$$

Ko te maha noa iti rawa atu o 72 me 9 ko 72. Me tahuri -\frac{47}{72} me \frac{29}{9} ki te hautau me te tautūnga 72.

$$-\frac{47}{72}-\frac{232}{72}-\frac{4\times 24+5}{24}$$

Tā te mea he rite te tauraro o -\frac{47}{72} me \frac{232}{72}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-47-232}{72}-\frac{4\times 24+5}{24}$$

Tangohia te 232 i te -47, ka -279.

$$\frac{-279}{72}-\frac{4\times 24+5}{24}$$

Whakahekea te hautanga \frac{-279}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$-\frac{31}{8}-\frac{4\times 24+5}{24}$$

Whakareatia te 4 ki te 24, ka 96.

$$-\frac{31}{8}-\frac{96+5}{24}$$

Tāpirihia te 96 ki te 5, ka 101.

$$-\frac{31}{8}-\frac{101}{24}$$

Ko te maha noa iti rawa atu o 8 me 24 ko 24. Me tahuri -\frac{31}{8} me \frac{101}{24} ki te hautau me te tautūnga 24.

$$-\frac{93}{24}-\frac{101}{24}$$

Tā te mea he rite te tauraro o -\frac{93}{24} me \frac{101}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-93-101}{24}$$

Tangohia te 101 i te -93, ka -194.

$$\frac{-194}{24}$$

Whakahekea te hautanga \frac{-194}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{97}{12}$$

Tauwehe

$$-\frac{97}{12} = -8\frac{1}{12} = -8.083333333333334$$