Solve 19/100x=3.1

$$\frac{ 19 }{ 100 } x = 3.1$$

Solve for x

$$x = \frac{310}{19} = 16\frac{6}{19} \approx 16.315789474$$

Steps for Solving Linear Equation

Multiply both sides by \frac{100}{19}, the reciprocal of \frac{19}{100}.

$$x=3.1\times \frac{100}{19}$$

Convert decimal number 3.1 to fraction \frac{31}{10}.

$$x=\frac{31}{10}\times \frac{100}{19}$$

Multiply \frac{31}{10} times \frac{100}{19} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{31\times 100}{10\times 19}$$

Do the multiplications in the fraction \frac{31\times 100}{10\times 19}.

$$x=\frac{3100}{190}$$

Reduce the fraction \frac{3100}{190} to lowest terms by extracting and canceling out 10.

$$x=\frac{310}{19}$$