Solve x/34.5=78/234

$$x / 34.5 = 78 / 234$$

Solve for x

$$x=11.5$$

Steps for Solving Linear Equation

Reduce the fraction \frac{78}{234} to lowest terms by extracting and canceling out 78.

$$\frac{x}{34.5}=\frac{1}{3}$$

Multiply both sides by 34.5.

$$x=\frac{1}{3}\times 34.5$$

Convert decimal number 34.5 to fraction \frac{345}{10}. Reduce the fraction \frac{345}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{1}{3}\times \frac{69}{2}$$

Multiply \frac{1}{3} times \frac{69}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 69}{3\times 2}$$

Do the multiplications in the fraction \frac{1\times 69}{3\times 2}.

$$x=\frac{69}{6}$$

Reduce the fraction \frac{69}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{23}{2}$$