Whakaoti i te -4/3+3/2v=-1/2

$$- \frac { 4 } { 3 } + \frac { 3 } { 2 } v = - \frac { 1 } { 2 }$$

Whakaoti mō v

$$v=\frac{5}{9}\approx 0.555555556$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te \frac{4}{3} ki ngā taha e rua.

$$\frac{3}{2}v=-\frac{1}{2}+\frac{4}{3}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri -\frac{1}{2} me \frac{4}{3} ki te hautau me te tautūnga 6.

$$\frac{3}{2}v=-\frac{3}{6}+\frac{8}{6}$$

Tā te mea he rite te tauraro o -\frac{3}{6} me \frac{8}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3}{2}v=\frac{-3+8}{6}$$

Tāpirihia te -3 ki te 8, ka 5.

$$\frac{3}{2}v=\frac{5}{6}$$

Me whakarea ngā taha e rua ki te \frac{2}{3}, te tau utu o \frac{3}{2}.

$$v=\frac{5}{6}\times \frac{2}{3}$$

Me whakarea te \frac{5}{6} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$v=\frac{5\times 2}{6\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 2}{6\times 3}.

$$v=\frac{10}{18}$$

Whakahekea te hautanga \frac{10}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$v=\frac{5}{9}$$