Solve 2/3=x/7.5

$$\frac { 2 } { 3 } = \frac { x } { 7.5 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides by 7.5.

$$\frac{2}{3}\times 7.5=x$$

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.

$$\frac{2}{3}\times \frac{15}{2}=x$$

Multiply \frac{2}{3} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 15}{3\times 2}=x$$

Cancel out 2 in both numerator and denominator.

$$\frac{15}{3}=x$$

Divide 15 by 3 to get 5.

$$5=x$$

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

$$x=5$$