Solve 1.2/2.5=3/x

$$\frac { 1.2 } { 2.5 } = \frac { 3 } { x }$$

Solve for x

$$x=6.25$$

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.

$$x\times \frac{1.2}{2.5}=3$$

Expand \frac{1.2}{2.5} by multiplying both numerator and the denominator by 10.

$$x\times \frac{12}{25}=3$$

Multiply both sides by \frac{25}{12}, the reciprocal of \frac{12}{25}.

$$x=3\times \frac{25}{12}$$

Express 3\times \frac{25}{12} as a single fraction.

$$x=\frac{3\times 25}{12}$$

Multiply 3 and 25 to get 75.

$$x=\frac{75}{12}$$

Reduce the fraction \frac{75}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{25}{4}$$