Solve 100/46=x/51.65

$$\frac{ 100 }{ 46 } = \frac{ x }{ 51.65 }$$

Solve for x

$$x = \frac{5165}{46} = 112\frac{13}{46} \approx 112.282608696$$

Steps for Solving Linear Equation

Reduce the fraction \frac{100}{46} to lowest terms by extracting and canceling out 2.

$$\frac{50}{23}=\frac{x}{51.65}$$

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

$$\frac{x}{51.65}=\frac{50}{23}$$

Multiply both sides by 51.65.

$$x=\frac{50}{23}\times 51.65$$

Convert decimal number 51.65 to fraction \frac{5165}{100}. Reduce the fraction \frac{5165}{100} to lowest terms by extracting and canceling out 5.

$$x=\frac{50}{23}\times \frac{1033}{20}$$

Multiply \frac{50}{23} times \frac{1033}{20} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{50\times 1033}{23\times 20}$$

Do the multiplications in the fraction \frac{50\times 1033}{23\times 20}.

$$x=\frac{51650}{460}$$

Reduce the fraction \frac{51650}{460} to lowest terms by extracting and canceling out 10.

$$x=\frac{5165}{46}$$