Solve 2/5x=8/35

$$\frac { 2 } { 5 } x = \frac { 8 } { 35 }$$

Solve for x

$$x=\frac{4}{7}\approx 0.571428571$$

Steps for Solving Linear Equation

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

$$x=\frac{8}{35}\times \frac{5}{2}$$

Multiply \frac{8}{35} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{8\times 5}{35\times 2}$$

Do the multiplications in the fraction \frac{8\times 5}{35\times 2}.

$$x=\frac{40}{70}$$

Reduce the fraction \frac{40}{70} to lowest terms by extracting and canceling out 10.

$$x=\frac{4}{7}$$