Solve 75.1%/x=8.314*(36.8+273.15)/101

$$\frac { 75.1 \% } { x } = \frac { 8.314 \times ( 36.8 + 273.15 ) } { 101 }$$

Solve for x

$$x=\frac{758510}{25769243}\approx 0.029434702$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 101x, the least common multiple of x,101.

$$101\times \frac{75.1}{100}=x\times 8.314\left(36.8+273.15\right)$$

Expand \frac{75.1}{100} by multiplying both numerator and the denominator by 10.

$$101\times \frac{751}{1000}=x\times 8.314\left(36.8+273.15\right)$$

Express 101\times \frac{751}{1000} as a single fraction.

$$\frac{101\times 751}{1000}=x\times 8.314\left(36.8+273.15\right)$$

Multiply 101 and 751 to get 75851.

$$\frac{75851}{1000}=x\times 8.314\left(36.8+273.15\right)$$

Add 36.8 and 273.15 to get 309.95.

$$\frac{75851}{1000}=x\times 8.314\times 309.95$$

Multiply 8.314 and 309.95 to get 2576.9243.

$$\frac{75851}{1000}=x\times 2576.9243$$

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

$$x\times 2576.9243=\frac{75851}{1000}$$

Divide both sides by 2576.9243.

$$x=\frac{\frac{75851}{1000}}{2576.9243}$$

Express \frac{\frac{75851}{1000}}{2576.9243} as a single fraction.

$$x=\frac{75851}{1000\times 2576.9243}$$

Multiply 1000 and 2576.9243 to get 2576924.3.

$$x=\frac{75851}{2576924.3}$$

Expand \frac{75851}{2576924.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{758510}{25769243}$$