Whakaoti i te 4-1/3/x=5/3/18

$$\frac{ 4- \frac{ 1 }{ 3 } }{ x } = \frac{ \frac{ 5 }{ 3 } }{ 18 }$$

Whakaoti mō x

$$x = \frac{198}{5} = 39\frac{3}{5} = 39.6$$

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.

$$18\left(4-\frac{1}{3}\right)=x\times \frac{5}{3}$$

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

$$18\left(\frac{12}{3}-\frac{1}{3}\right)=x\times \frac{5}{3}$$

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.

$$18\times \frac{12-1}{3}=x\times \frac{5}{3}$$

Tangohia te 1 i te 12, ka 11.

$$18\times \frac{11}{3}=x\times \frac{5}{3}$$

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

$$\frac{18\times 11}{3}=x\times \frac{5}{3}$$

Whakareatia te 18 ki te 11, ka 198.

$$\frac{198}{3}=x\times \frac{5}{3}$$

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

$$66=x\times \frac{5}{3}$$

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

$$x\times \frac{5}{3}=66$$

Me whakarea ngā taha e rua ki te \frac{3}{5}, te tau utu o \frac{5}{3}.

$$x=66\times \frac{3}{5}$$

Tuhia te 66\times \frac{3}{5} hei hautanga kotahi.

$$x=\frac{66\times 3}{5}$$

Whakareatia te 66 ki te 3, ka 198.

$$x=\frac{198}{5}$$