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Ngā Raru Ōrite mai i te Rapu Tukutuku

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1=\frac{10}{6}-\frac{2}{3}
Whakareatia te \frac{1}{6} ki te 10, ka \frac{10}{6}.
1=\frac{5}{3}-\frac{2}{3}
Whakahekea te hautanga \frac{10}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
1=\frac{5-2}{3}
Tā te mea he rite te tauraro o \frac{5}{3} me \frac{2}{3}, me tango rāua mā te tango i ō raua taurunga.
1=\frac{3}{3}
Tangohia te 2 i te 5, ka 3.
1=1
Whakawehea te 3 ki te 3, kia riro ko 1.
\text{true}
Whakatauritea te 1 me te 1.