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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{-\frac{4}{4}+\frac{3}{4}-\frac{1}{3}}{2-\frac{1}{4}}
Me tahuri te -1 ki te hautau -\frac{4}{4}.
\frac{\frac{-4+3}{4}-\frac{1}{3}}{2-\frac{1}{4}}
Tā te mea he rite te tauraro o -\frac{4}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{-\frac{1}{4}-\frac{1}{3}}{2-\frac{1}{4}}
Tāpirihia te -4 ki te 3, ka -1.
\frac{-\frac{3}{12}-\frac{4}{12}}{2-\frac{1}{4}}
Ko te maha noa iti rawa atu o 4 me 3 ko 12. Me tahuri -\frac{1}{4} me \frac{1}{3} ki te hautau me te tautūnga 12.
\frac{\frac{-3-4}{12}}{2-\frac{1}{4}}
Tā te mea he rite te tauraro o -\frac{3}{12} me \frac{4}{12}, me tango rāua mā te tango i ō raua taurunga.
\frac{-\frac{7}{12}}{2-\frac{1}{4}}
Tangohia te 4 i te -3, ka -7.
\frac{-\frac{7}{12}}{\frac{8}{4}-\frac{1}{4}}
Me tahuri te 2 ki te hautau \frac{8}{4}.
\frac{-\frac{7}{12}}{\frac{8-1}{4}}
Tā te mea he rite te tauraro o \frac{8}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.
\frac{-\frac{7}{12}}{\frac{7}{4}}
Tangohia te 1 i te 8, ka 7.
-\frac{7}{12}\times \frac{4}{7}
Whakawehe -\frac{7}{12} ki te \frac{7}{4} mā te whakarea -\frac{7}{12} ki te tau huripoki o \frac{7}{4}.
\frac{-7\times 4}{12\times 7}
Me whakarea te -\frac{7}{12} ki te \frac{4}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{-28}{84}
Mahia ngā whakarea i roto i te hautanga \frac{-7\times 4}{12\times 7}.
-\frac{1}{3}
Whakahekea te hautanga \frac{-28}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 28.