Whakaoti i te 57/8-25/9+1.125-34/9

$$5 \frac { 7 } { 8 } - 2 \frac { 5 } { 9 } + 1.125 - 3 \frac { 4 } { 9 }$$

Aromātai

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Ngā Upane Otinga

Whakareatia te 5 ki te 8, ka 40.

$$\frac{40+7}{8}-\frac{2\times 9+5}{9}+1.125-\frac{3\times 9+4}{9}$$

Tāpirihia te 40 ki te 7, ka 47.

$$\frac{47}{8}-\frac{2\times 9+5}{9}+1.125-\frac{3\times 9+4}{9}$$

Whakareatia te 2 ki te 9, ka 18.

$$\frac{47}{8}-\frac{18+5}{9}+1.125-\frac{3\times 9+4}{9}$$

Tāpirihia te 18 ki te 5, ka 23.

$$\frac{47}{8}-\frac{23}{9}+1.125-\frac{3\times 9+4}{9}$$

Ko te maha noa iti rawa atu o 8 me 9 ko 72. Me tahuri \frac{47}{8} me \frac{23}{9} ki te hautau me te tautūnga 72.

$$\frac{423}{72}-\frac{184}{72}+1.125-\frac{3\times 9+4}{9}$$

Tā te mea he rite te tauraro o \frac{423}{72} me \frac{184}{72}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{423-184}{72}+1.125-\frac{3\times 9+4}{9}$$

Tangohia te 184 i te 423, ka 239.

$$\frac{239}{72}+1.125-\frac{3\times 9+4}{9}$$

Me tahuri ki tau ā-ira 1.125 ki te hautau \frac{1125}{1000}. Whakahekea te hautanga \frac{1125}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 125.

$$\frac{239}{72}+\frac{9}{8}-\frac{3\times 9+4}{9}$$

Ko te maha noa iti rawa atu o 72 me 8 ko 72. Me tahuri \frac{239}{72} me \frac{9}{8} ki te hautau me te tautūnga 72.

$$\frac{239}{72}+\frac{81}{72}-\frac{3\times 9+4}{9}$$

Tā te mea he rite te tauraro o \frac{239}{72} me \frac{81}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{239+81}{72}-\frac{3\times 9+4}{9}$$

Tāpirihia te 239 ki te 81, ka 320.

$$\frac{320}{72}-\frac{3\times 9+4}{9}$$

Whakahekea te hautanga \frac{320}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{40}{9}-\frac{3\times 9+4}{9}$$

Whakareatia te 3 ki te 9, ka 27.

$$\frac{40}{9}-\frac{27+4}{9}$$

Tāpirihia te 27 ki te 4, ka 31.

$$\frac{40}{9}-\frac{31}{9}$$

Tā te mea he rite te tauraro o \frac{40}{9} me \frac{31}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{40-31}{9}$$

Tangohia te 31 i te 40, ka 9.

$$\frac{9}{9}$$

Whakawehea te 9 ki te 9, kia riro ko 1.

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Tauwehe

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