Solve 5/4x=5/8

$$\frac { 5 } { 4 } x = \frac { 5 } { 8 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

$$x=\frac{5}{8}\times \frac{4}{5}$$

Multiply \frac{5}{8} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 4}{8\times 5}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{1}{2}$$