Solve 12.5/x=2.5/1.6

$$\frac { 12.5 } { x } = \frac { 2.5 } { 1.6 }$$

Solve for x

$$x=8$$

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.

$$12.5=x\times \frac{2.5}{1.6}$$

Expand \frac{2.5}{1.6} by multiplying both numerator and the denominator by 10.

$$12.5=x\times \frac{25}{16}$$

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

$$x\times \frac{25}{16}=12.5$$

Multiply both sides by \frac{16}{25}, the reciprocal of \frac{25}{16}.

$$x=12.5\times \frac{16}{25}$$

Convert decimal number 12.5 to fraction \frac{125}{10}. Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{25}{2}\times \frac{16}{25}$$

Multiply \frac{25}{2} times \frac{16}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{25\times 16}{2\times 25}$$

Cancel out 25 in both numerator and denominator.

$$x=\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$x=8$$