Whakaoti i te (-45/9)-(-31/6)-24/9+31/6=

$$( - 4 \frac { 5 } { 9 } ) - ( - 3 \frac { 1 } { 6 } ) - 2 \frac { 4 } { 9 } + 3 \frac { 1 } { 6 } =$$

Aromātai

$$-\frac{2}{3}\approx -0.666666667$$

Ngā Upane Otinga

Whakareatia te 4 ki te 9, ka 36.

$$-\frac{36+5}{9}-\left(-\frac{3\times 6+1}{6}\right)-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

Tāpirihia te 36 ki te 5, ka 41.

$$-\frac{41}{9}-\left(-\frac{3\times 6+1}{6}\right)-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

Whakareatia te 3 ki te 6, ka 18.

$$-\frac{41}{9}-\left(-\frac{18+1}{6}\right)-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

Tāpirihia te 18 ki te 1, ka 19.

$$-\frac{41}{9}-\left(-\frac{19}{6}\right)-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

Ko te tauaro o -\frac{19}{6} ko \frac{19}{6}.

$$-\frac{41}{9}+\frac{19}{6}-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

Ko te maha noa iti rawa atu o 9 me 6 ko 18. Me tahuri -\frac{41}{9} me \frac{19}{6} ki te hautau me te tautūnga 18.

$$-\frac{82}{18}+\frac{57}{18}-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

Tā te mea he rite te tauraro o -\frac{82}{18} me \frac{57}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-82+57}{18}-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

Tāpirihia te -82 ki te 57, ka -25.

$$-\frac{25}{18}-\frac{2\times 9+4}{9}+\frac{3\times 6+1}{6}$$

Whakareatia te 2 ki te 9, ka 18.

$$-\frac{25}{18}-\frac{18+4}{9}+\frac{3\times 6+1}{6}$$

Tāpirihia te 18 ki te 4, ka 22.

$$-\frac{25}{18}-\frac{22}{9}+\frac{3\times 6+1}{6}$$

Ko te maha noa iti rawa atu o 18 me 9 ko 18. Me tahuri -\frac{25}{18} me \frac{22}{9} ki te hautau me te tautūnga 18.

$$-\frac{25}{18}-\frac{44}{18}+\frac{3\times 6+1}{6}$$

Tā te mea he rite te tauraro o -\frac{25}{18} me \frac{44}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-25-44}{18}+\frac{3\times 6+1}{6}$$

Tangohia te 44 i te -25, ka -69.

$$\frac{-69}{18}+\frac{3\times 6+1}{6}$$

Whakahekea te hautanga \frac{-69}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{23}{6}+\frac{3\times 6+1}{6}$$

Whakareatia te 3 ki te 6, ka 18.

$$-\frac{23}{6}+\frac{18+1}{6}$$

Tāpirihia te 18 ki te 1, ka 19.

$$-\frac{23}{6}+\frac{19}{6}$$

Tā te mea he rite te tauraro o -\frac{23}{6} me \frac{19}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-23+19}{6}$$

Tāpirihia te -23 ki te 19, ka -4.

$$\frac{-4}{6}$$

Whakahekea te hautanga \frac{-4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Tauwehe

$$-\frac{2}{3} = -0.6666666666666666$$