Whakaoti i te 4-1/3/x=2/18

$$\frac{ 4- \frac{ 1 }{ 3 } }{ x } = \frac{ 2 }{ 18 }$$

Whakaoti mō x

$$x=33$$

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.

$$18\left(4-\frac{1}{3}\right)=x\times 2$$

Me tahuri te 4 ki te hautau \frac{12}{3}.

$$18\left(\frac{12}{3}-\frac{1}{3}\right)=x\times 2$$

Tā te mea he rite te tauraro o \frac{12}{3} me \frac{1}{3}, me tango rāua mā te tango i ō raua taurunga.

$$18\times \frac{12-1}{3}=x\times 2$$

Tangohia te 1 i te 12, ka 11.

$$18\times \frac{11}{3}=x\times 2$$

Tuhia te 18\times \frac{11}{3} hei hautanga kotahi.

$$\frac{18\times 11}{3}=x\times 2$$

Whakareatia te 18 ki te 11, ka 198.

$$\frac{198}{3}=x\times 2$$

Whakawehea te 198 ki te 3, kia riro ko 66.

$$66=x\times 2$$

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

$$x\times 2=66$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{66}{2}$$

Whakawehea te 66 ki te 2, kia riro ko 33.

$$x=33$$