Whakaoti i te T=300+6/0.84*0.508-1/0.0045

$$T = 300+ \frac{ \frac{ 6 }{ 0.84 \cdot 0.508 } -1 }{ 0.0045 }$$

Whakaoti mō T

$$T = \frac{25622300}{8001} = 3202\frac{3098}{8001} \approx 3202.3872016$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 0.84 ki te 0.508, ka 0.42672.

$$T=300+\frac{\frac{6}{0.42672}-1}{0.0045}$$

Whakarohaina te \frac{6}{0.42672} mā te whakarea i te taurunga me te tauraro ki te 100000.

$$T=300+\frac{\frac{600000}{42672}-1}{0.0045}$$

Whakahekea te hautanga \frac{600000}{42672} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 48.

$$T=300+\frac{\frac{12500}{889}-1}{0.0045}$$

Me tahuri te 1 ki te hautau \frac{889}{889}.

$$T=300+\frac{\frac{12500}{889}-\frac{889}{889}}{0.0045}$$

Tā te mea he rite te tauraro o \frac{12500}{889} me \frac{889}{889}, me tango rāua mā te tango i ō raua taurunga.

$$T=300+\frac{\frac{12500-889}{889}}{0.0045}$$

Tangohia te 889 i te 12500, ka 11611.

$$T=300+\frac{\frac{11611}{889}}{0.0045}$$

Tuhia te \frac{\frac{11611}{889}}{0.0045} hei hautanga kotahi.

$$T=300+\frac{11611}{889\times 0.0045}$$

Whakareatia te 889 ki te 0.0045, ka 4.0005.

$$T=300+\frac{11611}{4.0005}$$

Whakarohaina te \frac{11611}{4.0005} mā te whakarea i te taurunga me te tauraro ki te 10000.

$$T=300+\frac{116110000}{40005}$$

Whakahekea te hautanga \frac{116110000}{40005} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$T=300+\frac{23222000}{8001}$$

Me tahuri te 300 ki te hautau \frac{2400300}{8001}.

$$T=\frac{2400300}{8001}+\frac{23222000}{8001}$$

Tā te mea he rite te tauraro o \frac{2400300}{8001} me \frac{23222000}{8001}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$T=\frac{2400300+23222000}{8001}$$

Tāpirihia te 2400300 ki te 23222000, ka 25622300.

$$T=\frac{25622300}{8001}$$

Tautapa T

$$T≔\frac{25622300}{8001}$$