Solve x/0.4=31/46

$$\frac { x } { 0.4 } = \frac { 31 } { 46 }$$

Solve for x

$$x=\frac{31}{115}\approx 0.269565217$$

Steps for Solving Linear Equation

Multiply both sides by 0.4.

$$x=\frac{31}{46}\times 0.4$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{31}{46}\times \frac{2}{5}$$

Multiply \frac{31}{46} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{31\times 2}{46\times 5}$$

Do the multiplications in the fraction \frac{31\times 2}{46\times 5}.

$$x=\frac{62}{230}$$

Reduce the fraction \frac{62}{230} to lowest terms by extracting and canceling out 2.

$$x=\frac{31}{115}$$