Whakaoti i te 0.75=2.47*0.0821*300*x/111*2.5

$$0.75 = 2.47 \times 0.0821 \times 300 \times \frac { x } { 111 \times 2.5 }$$

Whakaoti mō x

$$x = \frac{693750}{202787} = 3\frac{85389}{202787} \approx 3.421077288$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 2.47 ki te 0.0821, ka 0.202787.

$$0.75=0.202787\times 300\times \frac{x}{111\times 2.5}$$

Whakareatia te 0.202787 ki te 300, ka 60.8361.

$$0.75=60.8361\times \frac{x}{111\times 2.5}$$

Whakareatia te 111 ki te 2.5, ka 277.5.

$$0.75=60.8361\times \frac{x}{277.5}$$

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

$$60.8361\times \frac{x}{277.5}=0.75$$

Whakawehea ngā taha e rua ki te 60.8361.

$$\frac{x}{277.5}=\frac{0.75}{60.8361}$$

Whakarohaina te \frac{0.75}{60.8361} mā te whakarea i te taurunga me te tauraro ki te 10000.

$$\frac{x}{277.5}=\frac{7500}{608361}$$

Whakahekea te hautanga \frac{7500}{608361} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{x}{277.5}=\frac{2500}{202787}$$

Me whakarea ngā taha e rua ki te 277.5.

$$x=\frac{2500}{202787}\times 277.5$$

Me tahuri ki tau ā-ira 277.5 ki te hautau \frac{2775}{10}. Whakahekea te hautanga \frac{2775}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{2500}{202787}\times \frac{555}{2}$$

Me whakarea te \frac{2500}{202787} ki te \frac{555}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{2500\times 555}{202787\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{2500\times 555}{202787\times 2}.

$$x=\frac{1387500}{405574}$$

Whakahekea te hautanga \frac{1387500}{405574} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{693750}{202787}$$