Solve 2.4/x=2/2.5

$$\frac { 2.4 } { x } = \frac { 2 } { 2.5 }$$

Solve for x

$$x=3$$

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.

$$2.4=x\times \frac{2}{2.5}$$

Expand \frac{2}{2.5} by multiplying both numerator and the denominator by 10.

$$2.4=x\times \frac{20}{25}$$

Reduce the fraction \frac{20}{25} to lowest terms by extracting and canceling out 5.

$$2.4=x\times \frac{4}{5}$$

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

$$x\times \frac{4}{5}=2.4$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=2.4\times \frac{5}{4}$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{12}{5}\times \frac{5}{4}$$

Multiply \frac{12}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{12\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$x=3$$