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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{1}{2}+\frac{1}{4}\times 3\times \left(\frac{5}{2}\right)^{2}-\frac{\sqrt{81}}{2}
Whakawehe \frac{1}{4} ki te \frac{1}{3} mā te whakarea \frac{1}{4} ki te tau huripoki o \frac{1}{3}.
\frac{1}{2}+\frac{3}{4}\times \left(\frac{5}{2}\right)^{2}-\frac{\sqrt{81}}{2}
Whakareatia te \frac{1}{4} ki te 3, ka \frac{3}{4}.
\frac{1}{2}+\frac{3}{4}\times \frac{25}{4}-\frac{\sqrt{81}}{2}
Tātaihia te \frac{5}{2} mā te pū o 2, kia riro ko \frac{25}{4}.
\frac{1}{2}+\frac{3\times 25}{4\times 4}-\frac{\sqrt{81}}{2}
Me whakarea te \frac{3}{4} ki te \frac{25}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{1}{2}+\frac{75}{16}-\frac{\sqrt{81}}{2}
Mahia ngā whakarea i roto i te hautanga \frac{3\times 25}{4\times 4}.
\frac{8}{16}+\frac{75}{16}-\frac{\sqrt{81}}{2}
Ko te maha noa iti rawa atu o 2 me 16 ko 16. Me tahuri \frac{1}{2} me \frac{75}{16} ki te hautau me te tautūnga 16.
\frac{8+75}{16}-\frac{\sqrt{81}}{2}
Tā te mea he rite te tauraro o \frac{8}{16} me \frac{75}{16}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{83}{16}-\frac{\sqrt{81}}{2}
Tāpirihia te 8 ki te 75, ka 83.
\frac{83}{16}-\frac{9}{2}
Tātaitia te pūtakerua o 81 kia tae ki 9.
\frac{83}{16}-\frac{72}{16}
Ko te maha noa iti rawa atu o 16 me 2 ko 16. Me tahuri \frac{83}{16} me \frac{9}{2} ki te hautau me te tautūnga 16.
\frac{83-72}{16}
Tā te mea he rite te tauraro o \frac{83}{16} me \frac{72}{16}, me tango rāua mā te tango i ō raua taurunga.
\frac{11}{16}
Tangohia te 72 i te 83, ka 11.