Whakaoti i te x:y=9:6

$$x : y = 9 : 6$$

Whakaoti mō x

$$x=\frac{3y}{2}$$

$$y\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6y, arā, te tauraro pātahi he tino iti rawa te kitea o y,6.

$$6x=y\times 9$$

He hanga arowhānui tō te whārite.

$$6x=9y$$

Whakawehea ngā taha e rua ki te 6.

$$\frac{6x}{6}=\frac{9y}{6}$$

Mā te whakawehe ki te 6 ka wetekia te whakareanga ki te 6.

$$x=\frac{9y}{6}$$

Whakawehe 9y ki te 6.

$$x=\frac{3y}{2}$$

Whakaoti mō y

$$y=\frac{2x}{3}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe y ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 6y, arā, te tauraro pātahi he tino iti rawa te kitea o y,6.

$$6x=y\times 9$$

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

$$y\times 9=6x$$

He hanga arowhānui tō te whārite.

$$9y=6x$$

Whakawehea ngā taha e rua ki te 9.

$$\frac{9y}{9}=\frac{6x}{9}$$

Mā te whakawehe ki te 9 ka wetekia te whakareanga ki te 9.

$$y=\frac{6x}{9}$$

Whakawehe 6x ki te 9.

$$y=\frac{2x}{3}$$

Tē taea kia ōrite te tāupe y ki 0.

$$y=\frac{2x}{3}\text{, }y\neq 0$$