Whakaoti i te 8/2+4/1=2/frac{1{2}}+6/x

$$\frac{ 8 }{ 2 } + \frac{ 4 }{ 1 } = \frac{ 2 }{ \frac{ 1 }{ 2 } } + \frac{ 6 }{ x }$$

Whakaoti mō x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

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 2x, arā, te tauraro pātahi he tino iti rawa te kitea o 2,x.

$$x\times 8+2x\times 4=2x\times \frac{2}{\frac{1}{2}}+2\times 6$$

Whakareatia te 2 ki te 4, ka 8.

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

Pahekotia te x\times 8 me 8x, ka 16x.

$$16x=2x\times \frac{2}{\frac{1}{2}}+2\times 6$$

Whakawehe 2 ki te \frac{1}{2} mā te whakarea 2 ki te tau huripoki o \frac{1}{2}.

$$16x=2x\times 2\times 2+2\times 6$$

Whakareatia te 2 ki te 2, ka 4.

$$16x=2x\times 4+2\times 6$$

Whakareatia te 2 ki te 4, ka 8.

$$16x=8x+2\times 6$$

Whakareatia te 2 ki te 6, ka 12.

$$16x=8x+12$$

Tangohia te 8x mai i ngā taha e rua.

$$16x-8x=12$$

Pahekotia te 16x me -8x, ka 8x.

$$8x=12$$

Whakawehea ngā taha e rua ki te 8.

$$x=\frac{12}{8}$$

Whakahekea te hautanga \frac{12}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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