Whakaoti i te [(-2/3)+(-4/9)]*(-3/4)

$$[ ( - \frac { 2 } { 3 } ) + ( - \frac { 4 } { 9 } ) ] \times ( - \frac { 3 } { 4 } )$$

Aromātai

$$\frac{5}{6}\approx 0.833333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri -\frac{2}{3} me \frac{4}{9} ki te hautau me te tautūnga 9.

$$\left(-\frac{6}{9}-\frac{4}{9}\right)\left(-\frac{3}{4}\right)$$

Tā te mea he rite te tauraro o -\frac{6}{9} me \frac{4}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-6-4}{9}\left(-\frac{3}{4}\right)$$

Tangohia te 4 i te -6, ka -10.

$$-\frac{10}{9}\left(-\frac{3}{4}\right)$$

Me whakarea te -\frac{10}{9} ki te -\frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-10\left(-3\right)}{9\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{-10\left(-3\right)}{9\times 4}.

$$\frac{30}{36}$$

Whakahekea te hautanga \frac{30}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{5}{6}$$

Tauwehe

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$