Whakaoti i te 1/2*(x+1)-4/3:1/6=2

$$\frac { 1 } { 2 } \cdot ( x + 1 ) - \frac { 4 } { 3 } : \frac { 1 } { 6 } = 2$$

Whakaoti mō x

$$x=19$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te x+1.

$$\frac{1}{2}x+\frac{1}{2}-\frac{\frac{4}{3}}{\frac{1}{6}}=2$$

Whakawehe \frac{4}{3} ki te \frac{1}{6} mā te whakarea \frac{4}{3} ki te tau huripoki o \frac{1}{6}.

$$\frac{1}{2}x+\frac{1}{2}-\frac{4}{3}\times 6=2$$

Tuhia te \frac{4}{3}\times 6 hei hautanga kotahi.

$$\frac{1}{2}x+\frac{1}{2}-\frac{4\times 6}{3}=2$$

Whakareatia te 4 ki te 6, ka 24.

$$\frac{1}{2}x+\frac{1}{2}-\frac{24}{3}=2$$

Whakawehea te 24 ki te 3, kia riro ko 8.

$$\frac{1}{2}x+\frac{1}{2}-8=2$$

Me tahuri te 8 ki te hautau \frac{16}{2}.

$$\frac{1}{2}x+\frac{1}{2}-\frac{16}{2}=2$$

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{16}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2}x+\frac{1-16}{2}=2$$

Tangohia te 16 i te 1, ka -15.

$$\frac{1}{2}x-\frac{15}{2}=2$$

Me tāpiri te \frac{15}{2} ki ngā taha e rua.

$$\frac{1}{2}x=2+\frac{15}{2}$$

Me tahuri te 2 ki te hautau \frac{4}{2}.

$$\frac{1}{2}x=\frac{4}{2}+\frac{15}{2}$$

Tā te mea he rite te tauraro o \frac{4}{2} me \frac{15}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{2}x=\frac{4+15}{2}$$

Tāpirihia te 4 ki te 15, ka 19.

$$\frac{1}{2}x=\frac{19}{2}$$

Me whakarea ngā taha e rua ki te 2, te tau utu o \frac{1}{2}.

$$x=\frac{19}{2}\times 2$$

Me whakakore te 2 me te 2.

$$x=19$$