Whakaoti i te 4/4+frac{8{x}}=0.24

$$\frac { 4 } { 4 + \frac { 8 } { x } } = 0.24$$

Whakaoti mō x

$$x=\frac{12}{19}\approx 0.631578947$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 4 ki te \frac{x}{x}.

$$\frac{4}{\frac{4x}{x}+\frac{8}{x}}=0.24$$

Tā te mea he rite te tauraro o \frac{4x}{x} me \frac{8}{x}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4}{\frac{4x+8}{x}}=0.24$$

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakawehe 4 ki te \frac{4x+8}{x} mā te whakarea 4 ki te tau huripoki o \frac{4x+8}{x}.

$$\frac{4x}{4x+8}=0.24$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{4x}{4x+8}.

$$\frac{4x}{4\left(x+2\right)}=0.24$$

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{x}{x+2}=0.24$$

Tē taea kia ōrite te tāupe x ki -2 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+2.

$$x=0.24\left(x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 0.24 ki te x+2.

$$x=0.24x+0.48$$

Tangohia te 0.24x mai i ngā taha e rua.

$$x-0.24x=0.48$$

Pahekotia te x me -0.24x, ka 0.76x.

$$0.76x=0.48$$

Whakawehea ngā taha e rua ki te 0.76.

$$x=\frac{0.48}{0.76}$$

Whakarohaina te \frac{0.48}{0.76} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x=\frac{48}{76}$$

Whakahekea te hautanga \frac{48}{76} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=\frac{12}{19}$$