Solve 1.8/3.8=1.2/x

$$\frac { 1.8 } { 3.8 } = \frac { 1.2 } { x }$$

Solve for x

$$x = \frac{38}{15} = 2\frac{8}{15} \approx 2.533333333$$

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.

$$x\times \frac{1.8}{3.8}=1.2$$

Expand \frac{1.8}{3.8} by multiplying both numerator and the denominator by 10.

$$x\times \frac{18}{38}=1.2$$

Reduce the fraction \frac{18}{38} to lowest terms by extracting and canceling out 2.

$$x\times \frac{9}{19}=1.2$$

Multiply both sides by \frac{19}{9}, the reciprocal of \frac{9}{19}.

$$x=1.2\times \frac{19}{9}$$

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.

$$x=\frac{6}{5}\times \frac{19}{9}$$

Multiply \frac{6}{5} times \frac{19}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{6\times 19}{5\times 9}$$

Do the multiplications in the fraction \frac{6\times 19}{5\times 9}.

$$x=\frac{114}{45}$$

Reduce the fraction \frac{114}{45} to lowest terms by extracting and canceling out 3.

$$x=\frac{38}{15}$$