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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{4\times 12}{9\times 5}+\frac{\frac{7}{8}}{\frac{5}{6}}-\frac{11}{30}
Me whakarea te \frac{4}{9} ki te \frac{12}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{48}{45}+\frac{\frac{7}{8}}{\frac{5}{6}}-\frac{11}{30}
Mahia ngā whakarea i roto i te hautanga \frac{4\times 12}{9\times 5}.
\frac{16}{15}+\frac{\frac{7}{8}}{\frac{5}{6}}-\frac{11}{30}
Whakahekea te hautanga \frac{48}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.
\frac{16}{15}+\frac{7}{8}\times \frac{6}{5}-\frac{11}{30}
Whakawehe \frac{7}{8} ki te \frac{5}{6} mā te whakarea \frac{7}{8} ki te tau huripoki o \frac{5}{6}.
\frac{16}{15}+\frac{7\times 6}{8\times 5}-\frac{11}{30}
Me whakarea te \frac{7}{8} ki te \frac{6}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{16}{15}+\frac{42}{40}-\frac{11}{30}
Mahia ngā whakarea i roto i te hautanga \frac{7\times 6}{8\times 5}.
\frac{16}{15}+\frac{21}{20}-\frac{11}{30}
Whakahekea te hautanga \frac{42}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\frac{64}{60}+\frac{63}{60}-\frac{11}{30}
Ko te maha noa iti rawa atu o 15 me 20 ko 60. Me tahuri \frac{16}{15} me \frac{21}{20} ki te hautau me te tautūnga 60.
\frac{64+63}{60}-\frac{11}{30}
Tā te mea he rite te tauraro o \frac{64}{60} me \frac{63}{60}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{127}{60}-\frac{11}{30}
Tāpirihia te 64 ki te 63, ka 127.
\frac{127}{60}-\frac{22}{60}
Ko te maha noa iti rawa atu o 60 me 30 ko 60. Me tahuri \frac{127}{60} me \frac{11}{30} ki te hautau me te tautūnga 60.
\frac{127-22}{60}
Tā te mea he rite te tauraro o \frac{127}{60} me \frac{22}{60}, me tango rāua mā te tango i ō raua taurunga.
\frac{105}{60}
Tangohia te 22 i te 127, ka 105.
\frac{7}{4}
Whakahekea te hautanga \frac{105}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.