Solve 5/2x=125/4

$$\frac { 5 } { 2 } x = \frac { 125 } { 4 }$$

Solve for x

$$x = \frac{25}{2} = 12\frac{1}{2} = 12.5$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

$$x=\frac{125}{4}\times \frac{2}{5}$$

Multiply \frac{125}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{125\times 2}{4\times 5}$$

Do the multiplications in the fraction \frac{125\times 2}{4\times 5}.

$$x=\frac{250}{20}$$

Reduce the fraction \frac{250}{20} to lowest terms by extracting and canceling out 10.

$$x=\frac{25}{2}$$