Whakaoti i te 8/6=2y+4/7.5

$$\frac{ 8 }{ 6 } = \frac{ 2y+4 }{ 7.5 }$$

Whakaoti mō y

$$y=3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{8}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{4}{3}=\frac{2y+4}{7.5}$$

Whakawehea ia wā o 2y+4 ki te 7.5, kia riro ko \frac{2y}{7.5}+\frac{4}{7.5}.

$$\frac{4}{3}=\frac{2y}{7.5}+\frac{4}{7.5}$$

Whakawehea te 2y ki te 7.5, kia riro ko \frac{4}{15}y.

$$\frac{4}{3}=\frac{4}{15}y+\frac{4}{7.5}$$

Whakarohaina te \frac{4}{7.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{4}{3}=\frac{4}{15}y+\frac{40}{75}$$

Whakahekea te hautanga \frac{40}{75} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{4}{3}=\frac{4}{15}y+\frac{8}{15}$$

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

$$\frac{4}{15}y+\frac{8}{15}=\frac{4}{3}$$

Tangohia te \frac{8}{15} mai i ngā taha e rua.

$$\frac{4}{15}y=\frac{4}{3}-\frac{8}{15}$$

Ko te maha noa iti rawa atu o 3 me 15 ko 15. Me tahuri \frac{4}{3} me \frac{8}{15} ki te hautau me te tautūnga 15.

$$\frac{4}{15}y=\frac{20}{15}-\frac{8}{15}$$

Tā te mea he rite te tauraro o \frac{20}{15} me \frac{8}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{4}{15}y=\frac{20-8}{15}$$

Tangohia te 8 i te 20, ka 12.

$$\frac{4}{15}y=\frac{12}{15}$$

Whakahekea te hautanga \frac{12}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{4}{15}y=\frac{4}{5}$$

Whakawehea ngā taha e rua ki te \frac{4}{15}.

$$y=\frac{\frac{4}{5}}{\frac{4}{15}}$$

Tuhia te \frac{\frac{4}{5}}{\frac{4}{15}} hei hautanga kotahi.

$$y=\frac{4}{5\times \frac{4}{15}}$$

Whakareatia te 5 ki te \frac{4}{15}, ka \frac{4}{3}.

$$y=\frac{4}{\frac{4}{3}}$$