Solve 2/5:x=3/8:53/5

$$\frac { 2 } { 5 } : x = \frac { 3 } { 8 } : 5 \frac { 3 } { 5 }$$

Solve for x

$$x = \frac{448}{75} = 5\frac{73}{75} \approx 5.973333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

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

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

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

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

$$\frac{2}{5}=\frac{15}{224}x$$

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

$$\frac{15}{224}x=\frac{2}{5}$$

Multiply both sides by \frac{224}{15}, the reciprocal of \frac{15}{224}.

$$x=\frac{2}{5}\times \frac{224}{15}$$

Multiply \frac{2}{5} times \frac{224}{15} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 224}{5\times 15}$$

Do the multiplications in the fraction \frac{2\times 224}{5\times 15}.

$$x=\frac{448}{75}$$