Solve T=300+6/0.84*0.508-1/0.0045

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

Solve for T

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

Steps for Solving Linear Equation

Multiply 0.84 and 0.508 to get 0.42672.

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

Expand \frac{6}{0.42672} by multiplying both numerator and the denominator by 100000.

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

Reduce the fraction \frac{600000}{42672} to lowest terms by extracting and canceling out 48.

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

Convert 1 to fraction \frac{889}{889}.

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

Since \frac{12500}{889} and \frac{889}{889} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 889 from 12500 to get 11611.

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

Express \frac{\frac{11611}{889}}{0.0045} as a single fraction.

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

Multiply 889 and 0.0045 to get 4.0005.

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

Expand \frac{11611}{4.0005} by multiplying both numerator and the denominator by 10000.

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

Reduce the fraction \frac{116110000}{40005} to lowest terms by extracting and canceling out 5.

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

Convert 300 to fraction \frac{2400300}{8001}.

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

Since \frac{2400300}{8001} and \frac{23222000}{8001} have the same denominator, add them by adding their numerators.

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

Add 2400300 and 23222000 to get 25622300.

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

Assign T

$$T≔\frac{25622300}{8001}$$