Solve 9/14,5=x/11,5

$$\frac { 9 } { 14,5 } = \frac { x } { 11,5 }$$

Solve for x

$$x=\frac{207}{29}\approx 7,137931034$$

Steps for Solving Linear Equation

Expand \frac{9}{14,5} by multiplying both numerator and the denominator by 10.

$$\frac{90}{145}=\frac{x}{11,5}$$

Reduce the fraction \frac{90}{145} to lowest terms by extracting and canceling out 5.

$$\frac{18}{29}=\frac{x}{11,5}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{11,5}=\frac{18}{29}$$

Multiply both sides by 11,5.

$$x=\frac{18}{29}\times 11,5$$

Convert decimal number 11,5 to fraction \frac{115}{10}. Reduce the fraction \frac{115}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{18}{29}\times \frac{23}{2}$$

Multiply \frac{18}{29} times \frac{23}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{18\times 23}{29\times 2}$$

Do the multiplications in the fraction \frac{18\times 23}{29\times 2}.

$$x=\frac{414}{58}$$

Reduce the fraction \frac{414}{58} to lowest terms by extracting and canceling out 2.

$$x=\frac{207}{29}$$