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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{\frac{30+1}{3}-\frac{7\times 7+4}{7}}{\frac{2}{15}}-\frac{21}{15}
Whakareatia te 10 ki te 3, ka 30.
\frac{\frac{31}{3}-\frac{7\times 7+4}{7}}{\frac{2}{15}}-\frac{21}{15}
Tāpirihia te 30 ki te 1, ka 31.
\frac{\frac{31}{3}-\frac{49+4}{7}}{\frac{2}{15}}-\frac{21}{15}
Whakareatia te 7 ki te 7, ka 49.
\frac{\frac{31}{3}-\frac{53}{7}}{\frac{2}{15}}-\frac{21}{15}
Tāpirihia te 49 ki te 4, ka 53.
\frac{\frac{217}{21}-\frac{159}{21}}{\frac{2}{15}}-\frac{21}{15}
Ko te maha noa iti rawa atu o 3 me 7 ko 21. Me tahuri \frac{31}{3} me \frac{53}{7} ki te hautau me te tautūnga 21.
\frac{\frac{217-159}{21}}{\frac{2}{15}}-\frac{21}{15}
Tā te mea he rite te tauraro o \frac{217}{21} me \frac{159}{21}, me tango rāua mā te tango i ō raua taurunga.
\frac{\frac{58}{21}}{\frac{2}{15}}-\frac{21}{15}
Tangohia te 159 i te 217, ka 58.
\frac{58}{21}\times \frac{15}{2}-\frac{21}{15}
Whakawehe \frac{58}{21} ki te \frac{2}{15} mā te whakarea \frac{58}{21} ki te tau huripoki o \frac{2}{15}.
\frac{58\times 15}{21\times 2}-\frac{21}{15}
Me whakarea te \frac{58}{21} ki te \frac{15}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{870}{42}-\frac{21}{15}
Mahia ngā whakarea i roto i te hautanga \frac{58\times 15}{21\times 2}.
\frac{145}{7}-\frac{21}{15}
Whakahekea te hautanga \frac{870}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.
\frac{145}{7}-\frac{7}{5}
Whakahekea te hautanga \frac{21}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.
\frac{725}{35}-\frac{49}{35}
Ko te maha noa iti rawa atu o 7 me 5 ko 35. Me tahuri \frac{145}{7} me \frac{7}{5} ki te hautau me te tautūnga 35.
\frac{725-49}{35}
Tā te mea he rite te tauraro o \frac{725}{35} me \frac{49}{35}, me tango rāua mā te tango i ō raua taurunga.
\frac{676}{35}
Tangohia te 49 i te 725, ka 676.