Solve 400/227+273=11.2/x

$$\frac{ 400 }{ 227+273 } = \frac{ 11.2 }{ x }$$

Solve for x

$$x=14$$

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 x.

$$\frac{1}{500}x\times 400=11.2$$

Multiply \frac{1}{500} and 400 to get \frac{400}{500}.

$$\frac{400}{500}x=11.2$$

Reduce the fraction \frac{400}{500} to lowest terms by extracting and canceling out 100.

$$\frac{4}{5}x=11.2$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=11.2\times \frac{5}{4}$$

Convert decimal number 11.2 to fraction \frac{112}{10}. Reduce the fraction \frac{112}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{56}{5}\times \frac{5}{4}$$

Multiply \frac{56}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{56\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{56}{4}$$

Divide 56 by 4 to get 14.

$$x=14$$