Solve x/-11,34=-9,3/21,6

$$\frac { x } { - 11,34 } = \frac { - 9,3 } { 21,6 }$$

Solve for x

$$x=4,8825$$

Steps for Solving Linear Equation

Expand \frac{-9,3}{21,6} by multiplying both numerator and the denominator by 10.

$$\frac{x}{-11,34}=\frac{-93}{216}$$

Reduce the fraction \frac{-93}{216} to lowest terms by extracting and canceling out 3.

$$\frac{x}{-11,34}=-\frac{31}{72}$$

Multiply both sides by -11,34.

$$x=-\frac{31}{72}\left(-11,34\right)$$

Convert decimal number -11,34 to fraction -\frac{1134}{100}. Reduce the fraction -\frac{1134}{100} to lowest terms by extracting and canceling out 2.

$$x=-\frac{31}{72}\left(-\frac{567}{50}\right)$$

Multiply -\frac{31}{72} times -\frac{567}{50} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-31\left(-567\right)}{72\times 50}$$

Do the multiplications in the fraction \frac{-31\left(-567\right)}{72\times 50}.

$$x=\frac{17577}{3600}$$

Reduce the fraction \frac{17577}{3600} to lowest terms by extracting and canceling out 9.

$$x=\frac{1953}{400}$$