Solve 2.5/4.5=7.5/x

$$\frac { 2.5 } { 4.5 } = \frac { 7.5 } { x }$$

Solve for x

$$x=13.5$$

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.

$$x\times \frac{2.5}{4.5}=7.5$$

Expand \frac{2.5}{4.5} by multiplying both numerator and the denominator by 10.

$$x\times \frac{25}{45}=7.5$$

Reduce the fraction \frac{25}{45} to lowest terms by extracting and canceling out 5.

$$x\times \frac{5}{9}=7.5$$

Multiply both sides by \frac{9}{5}, the reciprocal of \frac{5}{9}.

$$x=7.5\times \frac{9}{5}$$

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{15}{2}\times \frac{9}{5}$$

Multiply \frac{15}{2} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 9}{2\times 5}$$

Do the multiplications in the fraction \frac{15\times 9}{2\times 5}.

$$x=\frac{135}{10}$$

Reduce the fraction \frac{135}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{27}{2}$$