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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

-2.7+\frac{3+1}{3}+1.6-\frac{4\times 6+5}{6}
Whakareatia te 1 ki te 3, ka 3.
-2.7+\frac{4}{3}+1.6-\frac{4\times 6+5}{6}
Tāpirihia te 3 ki te 1, ka 4.
-\frac{27}{10}+\frac{4}{3}+1.6-\frac{4\times 6+5}{6}
Me tahuri ki tau ā-ira -2.7 ki te hautau -\frac{27}{10}.
-\frac{81}{30}+\frac{40}{30}+1.6-\frac{4\times 6+5}{6}
Ko te maha noa iti rawa atu o 10 me 3 ko 30. Me tahuri -\frac{27}{10} me \frac{4}{3} ki te hautau me te tautūnga 30.
\frac{-81+40}{30}+1.6-\frac{4\times 6+5}{6}
Tā te mea he rite te tauraro o -\frac{81}{30} me \frac{40}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
-\frac{41}{30}+1.6-\frac{4\times 6+5}{6}
Tāpirihia te -81 ki te 40, ka -41.
-\frac{41}{30}+\frac{8}{5}-\frac{4\times 6+5}{6}
Me tahuri ki tau ā-ira 1.6 ki te hautau \frac{16}{10}. Whakahekea te hautanga \frac{16}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
-\frac{41}{30}+\frac{48}{30}-\frac{4\times 6+5}{6}
Ko te maha noa iti rawa atu o 30 me 5 ko 30. Me tahuri -\frac{41}{30} me \frac{8}{5} ki te hautau me te tautūnga 30.
\frac{-41+48}{30}-\frac{4\times 6+5}{6}
Tā te mea he rite te tauraro o -\frac{41}{30} me \frac{48}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{7}{30}-\frac{4\times 6+5}{6}
Tāpirihia te -41 ki te 48, ka 7.
\frac{7}{30}-\frac{24+5}{6}
Whakareatia te 4 ki te 6, ka 24.
\frac{7}{30}-\frac{29}{6}
Tāpirihia te 24 ki te 5, ka 29.
\frac{7}{30}-\frac{145}{30}
Ko te maha noa iti rawa atu o 30 me 6 ko 30. Me tahuri \frac{7}{30} me \frac{29}{6} ki te hautau me te tautūnga 30.
\frac{7-145}{30}
Tā te mea he rite te tauraro o \frac{7}{30} me \frac{145}{30}, me tango rāua mā te tango i ō raua taurunga.
\frac{-138}{30}
Tangohia te 145 i te 7, ka -138.
-\frac{23}{5}
Whakahekea te hautanga \frac{-138}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.