Solve x/39.5=23.6/15.8

$$\frac { x } { 39.5 } = \frac { 23.6 } { 15.8 }$$

Solve for x

$$x=59$$

Steps for Solving Linear Equation

Expand \frac{23.6}{15.8} by multiplying both numerator and the denominator by 10.

$$\frac{x}{39.5}=\frac{236}{158}$$

Reduce the fraction \frac{236}{158} to lowest terms by extracting and canceling out 2.

$$\frac{x}{39.5}=\frac{118}{79}$$

Multiply both sides by 39.5.

$$x=\frac{118}{79}\times 39.5$$

Convert decimal number 39.5 to fraction \frac{395}{10}. Reduce the fraction \frac{395}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{118}{79}\times \frac{79}{2}$$

Multiply \frac{118}{79} times \frac{79}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{118\times 79}{79\times 2}$$

Cancel out 79 in both numerator and denominator.

$$x=\frac{118}{2}$$

Divide 118 by 2 to get 59.

$$x=59$$