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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{5}{15}-\frac{3}{15}-1+\frac{2}{3}
Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{1}{3} me \frac{1}{5} ki te hautau me te tautūnga 15.
\frac{5-3}{15}-1+\frac{2}{3}
Tā te mea he rite te tauraro o \frac{5}{15} me \frac{3}{15}, me tango rāua mā te tango i ō raua taurunga.
\frac{2}{15}-1+\frac{2}{3}
Tangohia te 3 i te 5, ka 2.
\frac{2}{15}-\frac{15}{15}+\frac{2}{3}
Me tahuri te 1 ki te hautau \frac{15}{15}.
\frac{2-15}{15}+\frac{2}{3}
Tā te mea he rite te tauraro o \frac{2}{15} me \frac{15}{15}, me tango rāua mā te tango i ō raua taurunga.
-\frac{13}{15}+\frac{2}{3}
Tangohia te 15 i te 2, ka -13.
-\frac{13}{15}+\frac{10}{15}
Ko te maha noa iti rawa atu o 15 me 3 ko 15. Me tahuri -\frac{13}{15} me \frac{2}{3} ki te hautau me te tautūnga 15.
\frac{-13+10}{15}
Tā te mea he rite te tauraro o -\frac{13}{15} me \frac{10}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{-3}{15}
Tāpirihia te -13 ki te 10, ka -3.
-\frac{1}{5}
Whakahekea te hautanga \frac{-3}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.