Whakaoti i te 11/2(x-2/3)=02

$$1 \frac{ 1 }{ 2 } (x- \frac{ 2 }{ 3 } )=02$$

Whakaoti mō x

$$x=\frac{2}{3}\approx 0.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 2,3.

$$3\left(1\times 2+1\right)\left(x-\frac{2}{3}\right)=0\times 2$$

Whakareatia te 1 ki te 2, ka 2.

$$3\left(2+1\right)\left(x-\frac{2}{3}\right)=0\times 2$$

Tāpirihia te 2 ki te 1, ka 3.

$$3\times 3\left(x-\frac{2}{3}\right)=0\times 2$$

Whakareatia te 3 ki te 3, ka 9.

$$9\left(x-\frac{2}{3}\right)=0\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te x-\frac{2}{3}.

$$9x+9\left(-\frac{2}{3}\right)=0\times 2$$

Tuhia te 9\left(-\frac{2}{3}\right) hei hautanga kotahi.

$$9x+\frac{9\left(-2\right)}{3}=0\times 2$$

Whakareatia te 9 ki te -2, ka -18.

$$9x+\frac{-18}{3}=0\times 2$$

Whakawehea te -18 ki te 3, kia riro ko -6.

$$9x-6=0\times 2$$

Whakareatia te 0 ki te 2, ka 0.

$$9x-6=0$$

Me tāpiri te 6 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$9x=6$$

Whakawehea ngā taha e rua ki te 9.

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

Whakahekea te hautanga \frac{6}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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