Solve 0.5/0.15=x/1.2

$$\frac{ 0.5 }{ 0.15 } = \frac{ x }{ 1.2 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Expand \frac{0.5}{0.15} by multiplying both numerator and the denominator by 100.

$$\frac{50}{15}=\frac{x}{1.2}$$

Reduce the fraction \frac{50}{15} to lowest terms by extracting and canceling out 5.

$$\frac{10}{3}=\frac{x}{1.2}$$

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

$$\frac{x}{1.2}=\frac{10}{3}$$

Multiply both sides by 1.2.

$$x=\frac{10}{3}\times 1.2$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{10}{3}\times \frac{6}{5}$$

Multiply \frac{10}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{10\times 6}{3\times 5}$$

Do the multiplications in the fraction \frac{10\times 6}{3\times 5}.

$$x=\frac{60}{15}$$

Divide 60 by 15 to get 4.

$$x=4$$