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Tohaina

\frac{\frac{2}{3}\left(\frac{30+1}{6}-\frac{4\times 8+3}{8}\right)}{\frac{1\times 18+1}{18}}
Whakareatia te 5 ki te 6, ka 30.
\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{4\times 8+3}{8}\right)}{\frac{1\times 18+1}{18}}
Tāpirihia te 30 ki te 1, ka 31.
\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{32+3}{8}\right)}{\frac{1\times 18+1}{18}}
Whakareatia te 4 ki te 8, ka 32.
\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{35}{8}\right)}{\frac{1\times 18+1}{18}}
Tāpirihia te 32 ki te 3, ka 35.
\frac{\frac{2}{3}\left(\frac{124}{24}-\frac{105}{24}\right)}{\frac{1\times 18+1}{18}}
Ko te maha noa iti rawa atu o 6 me 8 ko 24. Me tahuri \frac{31}{6} me \frac{35}{8} ki te hautau me te tautūnga 24.
\frac{\frac{2}{3}\times \frac{124-105}{24}}{\frac{1\times 18+1}{18}}
Tā te mea he rite te tauraro o \frac{124}{24} me \frac{105}{24}, me tango rāua mā te tango i ō raua taurunga.
\frac{\frac{2}{3}\times \frac{19}{24}}{\frac{1\times 18+1}{18}}
Tangohia te 105 i te 124, ka 19.
\frac{\frac{2\times 19}{3\times 24}}{\frac{1\times 18+1}{18}}
Me whakarea te \frac{2}{3} ki te \frac{19}{24} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{\frac{38}{72}}{\frac{1\times 18+1}{18}}
Mahia ngā whakarea i roto i te hautanga \frac{2\times 19}{3\times 24}.
\frac{\frac{19}{36}}{\frac{1\times 18+1}{18}}
Whakahekea te hautanga \frac{38}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\frac{\frac{19}{36}}{\frac{18+1}{18}}
Whakareatia te 1 ki te 18, ka 18.
\frac{\frac{19}{36}}{\frac{19}{18}}
Tāpirihia te 18 ki te 1, ka 19.
\frac{19}{36}\times \frac{18}{19}
Whakawehe \frac{19}{36} ki te \frac{19}{18} mā te whakarea \frac{19}{36} ki te tau huripoki o \frac{19}{18}.
\frac{19\times 18}{36\times 19}
Me whakarea te \frac{19}{36} ki te \frac{18}{19} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{18}{36}
Me whakakore tahi te 19 i te taurunga me te tauraro.
\frac{1}{2}
Whakahekea te hautanga \frac{18}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 18.