Solve 0.75=2.47*0.0821*300*x/111*2.5

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

Solve for x

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

Steps for Solving Linear Equation

Multiply 2.47 and 0.0821 to get 0.202787.

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

Multiply 0.202787 and 300 to get 60.8361.

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

Multiply 111 and 2.5 to get 277.5.

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

Swap sides so that all variable terms are on the left hand side.

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

Divide both sides by 60.8361.

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

Expand \frac{0.75}{60.8361} by multiplying both numerator and the denominator by 10000.

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

Reduce the fraction \frac{7500}{608361} to lowest terms by extracting and canceling out 3.

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

Multiply both sides by 277.5.

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

Convert decimal number 277.5 to fraction \frac{2775}{10}. Reduce the fraction \frac{2775}{10} to lowest terms by extracting and canceling out 5.

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

Multiply \frac{2500}{202787} times \frac{555}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2500\times 555}{202787\times 2}.

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

Reduce the fraction \frac{1387500}{405574} to lowest terms by extracting and canceling out 2.

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