Whakaoti i te 2/5+7/10=18/x+36/x

$$\frac { 2 } { 5 } + \frac { 7 } { 10 } = 18 / x + 36 / x$$

Whakaoti mō x

$$x = \frac{540}{11} = 49\frac{1}{11} \approx 49.090909091$$

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 10x, arā, te tauraro pātahi he tino iti rawa te kitea o 5,10,x.

$$10x\times \frac{2}{5}+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Tuhia te 10\times \frac{2}{5} hei hautanga kotahi.

$$\frac{10\times 2}{5}x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Whakareatia te 10 ki te 2, ka 20.

$$\frac{20}{5}x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Whakawehea te 20 ki te 5, kia riro ko 4.

$$4x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Me whakakore te 10 me te 10.

$$4x+7x=10\times 18+10\times 36$$

Pahekotia te 4x me 7x, ka 11x.

$$11x=10\times 18+10\times 36$$

Whakareatia te 10 ki te 18, ka 180. Whakareatia te 10 ki te 36, ka 360.

$$11x=180+360$$

Tāpirihia te 180 ki te 360, ka 540.

$$11x=540$$

Whakawehea ngā taha e rua ki te 11.

$$x=\frac{540}{11}$$