Whakaoti i te 5/6m-5/12=7/8m+2/3

$$\frac { 5 } { 6 } m - \frac { 5 } { 12 } = \frac { 7 } { 8 } m + \frac { 2 } { 3 }$$

Whakaoti mō m

$$m=-26$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{7}{8}m mai i ngā taha e rua.

$$\frac{5}{6}m-\frac{5}{12}-\frac{7}{8}m=\frac{2}{3}$$

Pahekotia te \frac{5}{6}m me -\frac{7}{8}m, ka -\frac{1}{24}m.

$$-\frac{1}{24}m-\frac{5}{12}=\frac{2}{3}$$

Me tāpiri te \frac{5}{12} ki ngā taha e rua.

$$-\frac{1}{24}m=\frac{2}{3}+\frac{5}{12}$$

Ko te maha noa iti rawa atu o 3 me 12 ko 12. Me tahuri \frac{2}{3} me \frac{5}{12} ki te hautau me te tautūnga 12.

$$-\frac{1}{24}m=\frac{8}{12}+\frac{5}{12}$$

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{5}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{1}{24}m=\frac{8+5}{12}$$

Tāpirihia te 8 ki te 5, ka 13.

$$-\frac{1}{24}m=\frac{13}{12}$$

Me whakarea ngā taha e rua ki te -24, te tau utu o -\frac{1}{24}.

$$m=\frac{13}{12}\left(-24\right)$$

Tuhia te \frac{13}{12}\left(-24\right) hei hautanga kotahi.

$$m=\frac{13\left(-24\right)}{12}$$

Whakareatia te 13 ki te -24, ka -312.

$$m=\frac{-312}{12}$$

Whakawehea te -312 ki te 12, kia riro ko -26.

$$m=-26$$