Solve x/22,5=100/466

$$\frac { x } { 22,5 } = \frac { 100 } { 466 }$$

Solve for x

$$x=\frac{1125}{233}\approx 4,82832618$$

Steps for Solving Linear Equation

Reduce the fraction \frac{100}{466} to lowest terms by extracting and canceling out 2.

$$\frac{x}{22,5}=\frac{50}{233}$$

Multiply both sides by 22,5.

$$x=\frac{50}{233}\times 22,5$$

Convert decimal number 22,5 to fraction \frac{225}{10}. Reduce the fraction \frac{225}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{50}{233}\times \frac{45}{2}$$

Multiply \frac{50}{233} times \frac{45}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{50\times 45}{233\times 2}$$

Do the multiplications in the fraction \frac{50\times 45}{233\times 2}.

$$x=\frac{2250}{466}$$

Reduce the fraction \frac{2250}{466} to lowest terms by extracting and canceling out 2.

$$x=\frac{1125}{233}$$