Whakaoti i te 4-1/6/x=3/18

$$\frac { 4 - \frac { 1 } { 6 } } { x } = \frac { 3 } { 18 }$$

Whakaoti mō x

$$x=23$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 18x, arā, te tauraro pātahi he tino iti rawa te kitea o x,18.

$$18\left(4-\frac{1}{6}\right)=x\times 3$$

Me tahuri te 4 ki te hautau \frac{24}{6}.

$$18\left(\frac{24}{6}-\frac{1}{6}\right)=x\times 3$$

Tā te mea he rite te tauraro o \frac{24}{6} me \frac{1}{6}, me tango rāua mā te tango i ō raua taurunga.

$$18\times \frac{24-1}{6}=x\times 3$$

Tangohia te 1 i te 24, ka 23.

$$18\times \frac{23}{6}=x\times 3$$

Tuhia te 18\times \frac{23}{6} hei hautanga kotahi.

$$\frac{18\times 23}{6}=x\times 3$$

Whakareatia te 18 ki te 23, ka 414.

$$\frac{414}{6}=x\times 3$$

Whakawehea te 414 ki te 6, kia riro ko 69.

$$69=x\times 3$$

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

$$x\times 3=69$$

Whakawehea ngā taha e rua ki te 3.

$$x=\frac{69}{3}$$

Whakawehea te 69 ki te 3, kia riro ko 23.

$$x=23$$