Solve 32/5:x=1/5:5/2

$$\frac { 32 } { 5 } : x = \frac { 1 } { 5 } : \frac { 5 } { 2 }$$

Solve for x

$$x=80$$

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.

$$\frac{32}{5}=x\times \frac{\frac{1}{5}}{\frac{5}{2}}$$

Divide \frac{1}{5} by \frac{5}{2} by multiplying \frac{1}{5} by the reciprocal of \frac{5}{2}.

$$\frac{32}{5}=x\times \frac{1}{5}\times \frac{2}{5}$$

Multiply \frac{1}{5} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32}{5}=x\times \frac{1\times 2}{5\times 5}$$

Do the multiplications in the fraction \frac{1\times 2}{5\times 5}.

$$\frac{32}{5}=x\times \frac{2}{25}$$

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

$$x\times \frac{2}{25}=\frac{32}{5}$$

Multiply both sides by \frac{25}{2}, the reciprocal of \frac{2}{25}.

$$x=\frac{32}{5}\times \frac{25}{2}$$

Multiply \frac{32}{5} times \frac{25}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{32\times 25}{5\times 2}$$

Do the multiplications in the fraction \frac{32\times 25}{5\times 2}.

$$x=\frac{800}{10}$$

Divide 800 by 10 to get 80.

$$x=80$$