Solve 36.5/40=x/39.2

$$\frac { 36.5 } { 40 } = \frac { x } { 39.2 }$$

Solve for x

$$x=35.77$$

Steps for Solving Linear Equation

Expand \frac{36.5}{40} by multiplying both numerator and the denominator by 10.

$$\frac{365}{400}=\frac{x}{39.2}$$

Reduce the fraction \frac{365}{400} to lowest terms by extracting and canceling out 5.

$$\frac{73}{80}=\frac{x}{39.2}$$

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

$$\frac{x}{39.2}=\frac{73}{80}$$

Multiply both sides by 39.2.

$$x=\frac{73}{80}\times 39.2$$

Convert decimal number 39.2 to fraction \frac{392}{10}. Reduce the fraction \frac{392}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{73}{80}\times \frac{196}{5}$$

Multiply \frac{73}{80} times \frac{196}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{73\times 196}{80\times 5}$$

Do the multiplications in the fraction \frac{73\times 196}{80\times 5}.

$$x=\frac{14308}{400}$$

Reduce the fraction \frac{14308}{400} to lowest terms by extracting and canceling out 4.

$$x=\frac{3577}{100}$$