Solve 5/x=4/12.5

$$\frac { 5 } { x } = \frac { 4 } { 12.5 }$$

Solve for x

$$x=15.625$$

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.

$$5=x\times \frac{4}{12.5}$$

Expand \frac{4}{12.5} by multiplying both numerator and the denominator by 10.

$$5=x\times \frac{40}{125}$$

Reduce the fraction \frac{40}{125} to lowest terms by extracting and canceling out 5.

$$5=x\times \frac{8}{25}$$

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

$$x\times \frac{8}{25}=5$$

Multiply both sides by \frac{25}{8}, the reciprocal of \frac{8}{25}.

$$x=5\times \frac{25}{8}$$

Express 5\times \frac{25}{8} as a single fraction.

$$x=\frac{5\times 25}{8}$$

Multiply 5 and 25 to get 125.

$$x=\frac{125}{8}$$