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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{1}{2}+\frac{2}{3}-\frac{6}{12}+\frac{1\times 3+2}{3}
Whakareatia te 1 ki te \frac{2}{3}, ka \frac{2}{3}.
\frac{3}{6}+\frac{4}{6}-\frac{6}{12}+\frac{1\times 3+2}{3}
Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{2}{3} ki te hautau me te tautūnga 6.
\frac{3+4}{6}-\frac{6}{12}+\frac{1\times 3+2}{3}
Tā te mea he rite te tauraro o \frac{3}{6} me \frac{4}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{7}{6}-\frac{6}{12}+\frac{1\times 3+2}{3}
Tāpirihia te 3 ki te 4, ka 7.
\frac{7}{6}-\frac{1}{2}+\frac{1\times 3+2}{3}
Whakahekea te hautanga \frac{6}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.
\frac{7}{6}-\frac{3}{6}+\frac{1\times 3+2}{3}
Ko te maha noa iti rawa atu o 6 me 2 ko 6. Me tahuri \frac{7}{6} me \frac{1}{2} ki te hautau me te tautūnga 6.
\frac{7-3}{6}+\frac{1\times 3+2}{3}
Tā te mea he rite te tauraro o \frac{7}{6} me \frac{3}{6}, me tango rāua mā te tango i ō raua taurunga.
\frac{4}{6}+\frac{1\times 3+2}{3}
Tangohia te 3 i te 7, ka 4.
\frac{2}{3}+\frac{1\times 3+2}{3}
Whakahekea te hautanga \frac{4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\frac{2}{3}+\frac{3+2}{3}
Whakareatia te 1 ki te 3, ka 3.
\frac{2}{3}+\frac{5}{3}
Tāpirihia te 3 ki te 2, ka 5.
\frac{2+5}{3}
Tā te mea he rite te tauraro o \frac{2}{3} me \frac{5}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{7}{3}
Tāpirihia te 2 ki te 5, ka 7.