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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{1}{2-\frac{3}{\frac{20}{5}+\frac{1}{5}}}
Me tahuri te 4 ki te hautau \frac{20}{5}.
\frac{1}{2-\frac{3}{\frac{20+1}{5}}}
Tā te mea he rite te tauraro o \frac{20}{5} me \frac{1}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{1}{2-\frac{3}{\frac{21}{5}}}
Tāpirihia te 20 ki te 1, ka 21.
\frac{1}{2-3\times \frac{5}{21}}
Whakawehe 3 ki te \frac{21}{5} mā te whakarea 3 ki te tau huripoki o \frac{21}{5}.
\frac{1}{2-\frac{3\times 5}{21}}
Tuhia te 3\times \frac{5}{21} hei hautanga kotahi.
\frac{1}{2-\frac{15}{21}}
Whakareatia te 3 ki te 5, ka 15.
\frac{1}{2-\frac{5}{7}}
Whakahekea te hautanga \frac{15}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.
\frac{1}{\frac{14}{7}-\frac{5}{7}}
Me tahuri te 2 ki te hautau \frac{14}{7}.
\frac{1}{\frac{14-5}{7}}
Tā te mea he rite te tauraro o \frac{14}{7} me \frac{5}{7}, me tango rāua mā te tango i ō raua taurunga.
\frac{1}{\frac{9}{7}}
Tangohia te 5 i te 14, ka 9.
1\times \frac{7}{9}
Whakawehe 1 ki te \frac{9}{7} mā te whakarea 1 ki te tau huripoki o \frac{9}{7}.
\frac{7}{9}
Whakareatia te 1 ki te \frac{7}{9}, ka \frac{7}{9}.