Whakaoti i te S=38000N/76frac{N{mm^2}}

$$S = \frac { 38000 N } { 76 \frac { N } { m m ^ { 2 } } }$$

Whakaoti mō N

$$N\neq 0$$

$$S=500m^{3}\text{ and }m\neq 0\text{ and }N\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$S=\frac{38000N}{76\times \frac{N}{m^{3}}}$$

Tuhia te 76\times \frac{N}{m^{3}} hei hautanga kotahi.

$$S=\frac{38000N}{\frac{76N}{m^{3}}}$$

Whakawehe 38000N ki te \frac{76N}{m^{3}} mā te whakarea 38000N ki te tau huripoki o \frac{76N}{m^{3}}.

$$S=\frac{38000Nm^{3}}{76N}$$

Me whakakore tahi te 76 i te taurunga me te tauraro.

$$S=\frac{500Nm^{3}}{N}$$

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

$$\frac{500Nm^{3}}{N}=S$$

Tē taea kia ōrite te tāupe N ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te N.

$$500Nm^{3}=SN$$

Tangohia te SN mai i ngā taha e rua.

$$500Nm^{3}-SN=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te N.

$$\left(500m^{3}-S\right)N=0$$

Whakawehe 0 ki te 500m^{3}-S.

$$N=0$$

Tē taea kia ōrite te tāupe N ki 0.

$$N\in \emptyset$$

Whakaoti mō S

$$S=500m^{3}$$

$$N\neq 0\text{ and }m\neq 0$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$S=\frac{38000N}{76\times \frac{N}{m^{3}}}$$

Tuhia te 76\times \frac{N}{m^{3}} hei hautanga kotahi.

$$S=\frac{38000N}{\frac{76N}{m^{3}}}$$

Whakawehe 38000N ki te \frac{76N}{m^{3}} mā te whakarea 38000N ki te tau huripoki o \frac{76N}{m^{3}}.

$$S=\frac{38000Nm^{3}}{76N}$$

Me whakakore tahi te 76N i te taurunga me te tauraro.

$$S=500m^{3}$$