Solve x/4.6=-17.4/-13.8

$$\frac{ x }{ 4.6 } = \frac{ -17.4 }{ -13.8 }$$

Solve for x

$$x=5.8$$

Steps for Solving Linear Equation

Expand \frac{-17.4}{-13.8} by multiplying both numerator and the denominator by 10.

$$\frac{x}{4.6}=\frac{-174}{-138}$$

Reduce the fraction \frac{-174}{-138} to lowest terms by extracting and canceling out -6.

$$\frac{x}{4.6}=\frac{29}{23}$$

Multiply both sides by 4.6.

$$x=\frac{29}{23}\times 4.6$$

Convert decimal number 4.6 to fraction \frac{46}{10}. Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{29}{23}\times \frac{23}{5}$$

Multiply \frac{29}{23} times \frac{23}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{29\times 23}{23\times 5}$$

Cancel out 23 in both numerator and denominator.

$$x=\frac{29}{5}$$