Whakaoti i te 1div8+1/8=1/6divx

$$1 \div 8 + 1 / 8 = 1 / 6 \div x$$

Whakaoti mō x

$$x=\frac{2}{3}\approx 0.666666667$$

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 8x, arā, te tauraro pātahi he tino iti rawa te kitea o 8,x.

$$8x\times \frac{1}{8}+8x\times \frac{1}{8}=8\times \frac{1}{6}$$

Me whakakore te 8 me te 8.

$$x+8x\times \frac{1}{8}=8\times \frac{1}{6}$$

Me whakakore te 8 me te 8.

$$x+x=8\times \frac{1}{6}$$

Pahekotia te x me x, ka 2x.

$$2x=8\times \frac{1}{6}$$

Whakareatia te 8 ki te \frac{1}{6}, ka \frac{8}{6}.

$$2x=\frac{8}{6}$$

Whakahekea te hautanga \frac{8}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$2x=\frac{4}{3}$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{\frac{4}{3}}{2}$$

Tuhia te \frac{\frac{4}{3}}{2} hei hautanga kotahi.

$$x=\frac{4}{3\times 2}$$

Whakareatia te 3 ki te 2, ka 6.

$$x=\frac{4}{6}$$

Whakahekea te hautanga \frac{4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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