Whakaoti i te 4-1/6/x=5/3/18

$$\frac{ 4- \frac{ 1 }{ 6 } }{ x } = \frac{ \frac{ 5 }{ 3 } }{ 18 }$$

Whakaoti mō x

$$x = \frac{207}{5} = 41\frac{2}{5} = 41.4$$

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.

$$18\left(4-\frac{1}{6}\right)=x\times \frac{5}{3}$$

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

$$18\left(\frac{24}{6}-\frac{1}{6}\right)=x\times \frac{5}{3}$$

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.

$$18\times \frac{24-1}{6}=x\times \frac{5}{3}$$

Tangohia te 1 i te 24, ka 23.

$$18\times \frac{23}{6}=x\times \frac{5}{3}$$

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

$$\frac{18\times 23}{6}=x\times \frac{5}{3}$$

Whakareatia te 18 ki te 23, ka 414.

$$\frac{414}{6}=x\times \frac{5}{3}$$

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

$$69=x\times \frac{5}{3}$$

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

$$x\times \frac{5}{3}=69$$

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

$$x=69\times \frac{3}{5}$$

Tuhia te 69\times \frac{3}{5} hei hautanga kotahi.

$$x=\frac{69\times 3}{5}$$

Whakareatia te 69 ki te 3, ka 207.

$$x=\frac{207}{5}$$