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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{7\times 4}{12x}+\frac{5\times 3}{12x}-\frac{2}{8x^{2}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 3x me 4x ko 12x. Whakareatia \frac{7}{3x} ki te \frac{4}{4}. Whakareatia \frac{5}{4x} ki te \frac{3}{3}.
\frac{7\times 4+5\times 3}{12x}-\frac{2}{8x^{2}}
Tā te mea he rite te tauraro o \frac{7\times 4}{12x} me \frac{5\times 3}{12x}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{28+15}{12x}-\frac{2}{8x^{2}}
Mahia ngā whakarea i roto o 7\times 4+5\times 3.
\frac{43}{12x}-\frac{2}{8x^{2}}
Mahia ngā tātaitai i roto o 28+15.
\frac{43\times 2x}{24x^{2}}-\frac{2\times 3}{24x^{2}}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 12x me 8x^{2} ko 24x^{2}. Whakareatia \frac{43}{12x} ki te \frac{2x}{2x}. Whakareatia \frac{2}{8x^{2}} ki te \frac{3}{3}.
\frac{43\times 2x-2\times 3}{24x^{2}}
Tā te mea he rite te tauraro o \frac{43\times 2x}{24x^{2}} me \frac{2\times 3}{24x^{2}}, me tango rāua mā te tango i ō raua taurunga.
\frac{86x-6}{24x^{2}}
Mahia ngā whakarea i roto o 43\times 2x-2\times 3.
\frac{2\left(43x-3\right)}{24x^{2}}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{86x-6}{24x^{2}}.
\frac{43x-3}{12x^{2}}
Me whakakore tahi te 2 i te taurunga me te tauraro.