Whakaoti i te 1/6+1/5=1/x

$$\frac { 1 } { 6 } + \frac { 1 } { 5 } = \frac { 1 } { x }$$

Whakaoti mō x

$$x = \frac{30}{11} = 2\frac{8}{11} \approx 2.727272727$$

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 30x, arā, te tauraro pātahi he tino iti rawa te kitea o 6,5,x.

$$30x\times \frac{1}{6}+30x\times \frac{1}{5}=30$$

Whakareatia te 30 ki te \frac{1}{6}, ka \frac{30}{6}.

$$\frac{30}{6}x+30x\times \frac{1}{5}=30$$

Whakawehea te 30 ki te 6, kia riro ko 5.

$$5x+30x\times \frac{1}{5}=30$$

Whakareatia te 30 ki te \frac{1}{5}, ka \frac{30}{5}.

$$5x+\frac{30}{5}x=30$$

Whakawehea te 30 ki te 5, kia riro ko 6.

$$5x+6x=30$$

Pahekotia te 5x me 6x, ka 11x.

$$11x=30$$

Whakawehea ngā taha e rua ki te 11.

$$x=\frac{30}{11}$$