Whakaoti i te 2/5=5/6-m

$$\frac { 2 } { 5 } = \frac { 5 } { 6 } - m$$

Whakaoti mō m

$$m=\frac{13}{30}\approx 0.433333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{5}{6}-m=\frac{2}{5}$$

Tangohia te \frac{5}{6} mai i ngā taha e rua.

$$-m=\frac{2}{5}-\frac{5}{6}$$

Ko te maha noa iti rawa atu o 5 me 6 ko 30. Me tahuri \frac{2}{5} me \frac{5}{6} ki te hautau me te tautūnga 30.

$$-m=\frac{12}{30}-\frac{25}{30}$$

Tā te mea he rite te tauraro o \frac{12}{30} me \frac{25}{30}, me tango rāua mā te tango i ō raua taurunga.

$$-m=\frac{12-25}{30}$$

Tangohia te 25 i te 12, ka -13.

$$-m=-\frac{13}{30}$$

Me whakarea ngā taha e rua ki te -1.

$$m=\frac{13}{30}$$