Whakaoti i te 1km/h=1000m/3600s

$$1 km / h = 1000 m / 3600 s$$

Whakaoti mō h

$$\left\{\begin{matrix}h=\frac{18k}{5s}\text{, }&k\neq 0\text{ and }s\neq 0\\h\neq 0\text{, }&m=0\text{ or }\left(s=0\text{ and }k=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe h ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 3600h, arā, te tauraro pātahi he tino iti rawa te kitea o h,3600.

$$3600\times 1km=h\times 1000ms$$

Whakareatia te 3600 ki te 1, ka 3600.

$$3600km=h\times 1000ms$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$h\times 1000ms=3600km$$

He hanga arowhānui tō te whārite.

$$1000msh=3600km$$

Whakawehea ngā taha e rua ki te 1000ms.

$$\frac{1000msh}{1000ms}=\frac{3600km}{1000ms}$$

Mā te whakawehe ki te 1000ms ka wetekia te whakareanga ki te 1000ms.

$$h=\frac{3600km}{1000ms}$$

Whakawehe 3600km ki te 1000ms.

$$h=\frac{18k}{5s}$$

Tē taea kia ōrite te tāupe h ki 0.

$$h=\frac{18k}{5s}\text{, }h\neq 0$$

Whakaoti mō k

$$\left\{\begin{matrix}k=\frac{5hs}{18}\text{, }&h\neq 0\\k\in \mathrm{R}\text{, }&m=0\text{ and }h\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 3600h, arā, te tauraro pātahi he tino iti rawa te kitea o h,3600.

$$3600\times 1km=h\times 1000ms$$

Whakareatia te 3600 ki te 1, ka 3600.

$$3600km=h\times 1000ms$$

He hanga arowhānui tō te whārite.

$$3600mk=1000hms$$

Whakawehea ngā taha e rua ki te 3600m.

$$\frac{3600mk}{3600m}=\frac{1000hms}{3600m}$$

Mā te whakawehe ki te 3600m ka wetekia te whakareanga ki te 3600m.

$$k=\frac{1000hms}{3600m}$$

Whakawehe 1000hms ki te 3600m.

$$k=\frac{5hs}{18}$$