Whakaoti i te h=r*1/1+frac{s{t}}

$$h = r \cdot \frac { 1 } { 1 + \frac { s } { t } }$$

Whakaoti mō r

$$r=\frac{h\left(s+t\right)}{t}$$

$$s\neq -t\text{ and }t\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{t}{t}.

$$h=r\times \frac{1}{\frac{t}{t}+\frac{s}{t}}$$

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

$$h=r\times \frac{1}{\frac{t+s}{t}}$$

Whakawehe 1 ki te \frac{t+s}{t} mā te whakarea 1 ki te tau huripoki o \frac{t+s}{t}.

$$h=r\times \frac{t}{t+s}$$

Tuhia te r\times \frac{t}{t+s} hei hautanga kotahi.

$$h=\frac{rt}{t+s}$$

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

$$\frac{rt}{t+s}=h$$

Whakareatia ngā taha e rua o te whārite ki te s+t.

$$rt=h\left(s+t\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te h ki te s+t.

$$rt=hs+ht$$

He hanga arowhānui tō te whārite.

$$tr=hs+ht$$

Whakawehea ngā taha e rua ki te t.

$$\frac{tr}{t}=\frac{h\left(s+t\right)}{t}$$

Mā te whakawehe ki te t ka wetekia te whakareanga ki te t.

$$r=\frac{h\left(s+t\right)}{t}$$

Whakaoti mō h

$$h=\frac{rt}{s+t}$$

$$s\neq -t\text{ and }t\neq 0$$