Solve 2/5*x=3/8*28/5

$$\frac { 2 } { 5 } \cdot x = \frac { 3 } { 8 } \cdot \frac { 28 } { 5 }$$

Solve for x

$$x = \frac{21}{4} = 5\frac{1}{4} = 5.25$$

Steps for Solving Linear Equation

Multiply \frac{3}{8} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}x=\frac{3\times 28}{8\times 5}$$

Do the multiplications in the fraction \frac{3\times 28}{8\times 5}.

$$\frac{2}{5}x=\frac{84}{40}$$

Reduce the fraction \frac{84}{40} to lowest terms by extracting and canceling out 4.

$$\frac{2}{5}x=\frac{21}{10}$$

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

$$x=\frac{21}{10}\times \frac{5}{2}$$

Multiply \frac{21}{10} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{21\times 5}{10\times 2}$$

Do the multiplications in the fraction \frac{21\times 5}{10\times 2}.

$$x=\frac{105}{20}$$

Reduce the fraction \frac{105}{20} to lowest terms by extracting and canceling out 5.

$$x=\frac{21}{4}$$