Whakaoti i te 1=2/3(10x-15)

$$1 = \frac { 2 } { 3 } ( 10 x - 15 )$$

Whakaoti mō x

$$x = \frac{33}{20} = 1\frac{13}{20} = 1.65$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$1\times \frac{3}{2}=10x-15$$

Whakareatia te 1 ki te \frac{3}{2}, ka \frac{3}{2}.

$$\frac{3}{2}=10x-15$$

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

$$10x-15=\frac{3}{2}$$

Me tāpiri te 15 ki ngā taha e rua.

$$10x=\frac{3}{2}+15$$

Me tahuri te 15 ki te hautau \frac{30}{2}.

$$10x=\frac{3}{2}+\frac{30}{2}$$

Tā te mea he rite te tauraro o \frac{3}{2} me \frac{30}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$10x=\frac{3+30}{2}$$

Tāpirihia te 3 ki te 30, ka 33.

$$10x=\frac{33}{2}$$

Whakawehea ngā taha e rua ki te 10.

$$x=\frac{\frac{33}{2}}{10}$$

Tuhia te \frac{\frac{33}{2}}{10} hei hautanga kotahi.

$$x=\frac{33}{2\times 10}$$

Whakareatia te 2 ki te 10, ka 20.

$$x=\frac{33}{20}$$