Solve x/0.15=0.4/0.03

$$\frac { x } { 0.15 } = \frac { 0.4 } { 0.03 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Expand \frac{0.4}{0.03} by multiplying both numerator and the denominator by 100.

$$\frac{x}{0.15}=\frac{40}{3}$$

Multiply both sides by 0.15.

$$x=\frac{40}{3}\times 0.15$$

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$x=\frac{40}{3}\times \frac{3}{20}$$

Multiply \frac{40}{3} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{40\times 3}{3\times 20}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{40}{20}$$

Divide 40 by 20 to get 2.

$$x=2$$