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Tohaina

12\times \frac{1}{8}-40\times \left(\frac{1}{2}\right)^{2}+27\times \frac{1}{2}-5
Tātaihia te \frac{1}{2} mā te pū o 3, kia riro ko \frac{1}{8}.
\frac{12}{8}-40\times \left(\frac{1}{2}\right)^{2}+27\times \frac{1}{2}-5
Whakareatia te 12 ki te \frac{1}{8}, ka \frac{12}{8}.
\frac{3}{2}-40\times \left(\frac{1}{2}\right)^{2}+27\times \frac{1}{2}-5
Whakahekea te hautanga \frac{12}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.
\frac{3}{2}-40\times \frac{1}{4}+27\times \frac{1}{2}-5
Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.
\frac{3}{2}-\frac{40}{4}+27\times \frac{1}{2}-5
Whakareatia te 40 ki te \frac{1}{4}, ka \frac{40}{4}.
\frac{3}{2}-10+27\times \frac{1}{2}-5
Whakawehea te 40 ki te 4, kia riro ko 10.
\frac{3}{2}-\frac{20}{2}+27\times \frac{1}{2}-5
Me tahuri te 10 ki te hautau \frac{20}{2}.
\frac{3-20}{2}+27\times \frac{1}{2}-5
Tā te mea he rite te tauraro o \frac{3}{2} me \frac{20}{2}, me tango rāua mā te tango i ō raua taurunga.
-\frac{17}{2}+27\times \frac{1}{2}-5
Tangohia te 20 i te 3, ka -17.
-\frac{17}{2}+\frac{27}{2}-5
Whakareatia te 27 ki te \frac{1}{2}, ka \frac{27}{2}.
\frac{-17+27}{2}-5
Tā te mea he rite te tauraro o -\frac{17}{2} me \frac{27}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{10}{2}-5
Tāpirihia te -17 ki te 27, ka 10.
5-5
Whakawehea te 10 ki te 2, kia riro ko 5.
0
Tangohia te 5 i te 5, ka 0.