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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{x}{4}-\frac{21}{9}+\frac{7}{9}
Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri -\frac{7}{3} me \frac{7}{9} ki te hautau me te tautūnga 9.
\frac{x}{4}+\frac{-21+7}{9}
Tā te mea he rite te tauraro o -\frac{21}{9} me \frac{7}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{x}{4}-\frac{14}{9}
Tāpirihia te -21 ki te 7, ka -14.
\frac{9x}{36}-\frac{14\times 4}{36}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 4 me 9 ko 36. Whakareatia \frac{x}{4} ki te \frac{9}{9}. Whakareatia \frac{14}{9} ki te \frac{4}{4}.
\frac{9x-14\times 4}{36}
Tā te mea he rite te tauraro o \frac{9x}{36} me \frac{14\times 4}{36}, me tango rāua mā te tango i ō raua taurunga.
\frac{9x-56}{36}
Mahia ngā whakarea i roto o 9x-14\times 4.
\frac{9x-56}{36}
Tauwehea te \frac{1}{36}.
9x-56
Whakaarohia te 9x-84+28. Whakarea ka paheko i ngā kīanga tau ōrite.
\frac{9x-56}{36}
Me tuhi anō te kīanga whakatauwehe katoa.