Solve x/22.4=14.51-4.66/197

$$\frac { x } { 22.4 } = \frac { 14.51 - 4.66 } { 197 }$$

Solve for x

$$x=1.12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 197.

$$197\times \frac{x}{22.4}=14.51-4.66$$

Subtract 4.66 from 14.51 to get 9.85.

$$197\times \frac{x}{22.4}=9.85$$

Divide both sides by 197.

$$\frac{x}{22.4}=\frac{9.85}{197}$$

Expand \frac{9.85}{197} by multiplying both numerator and the denominator by 100.

$$\frac{x}{22.4}=\frac{985}{19700}$$

Reduce the fraction \frac{985}{19700} to lowest terms by extracting and canceling out 985.

$$\frac{x}{22.4}=\frac{1}{20}$$

Multiply both sides by 22.4.

$$x=\frac{1}{20}\times 22.4$$

Convert decimal number 22.4 to fraction \frac{224}{10}. Reduce the fraction \frac{224}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{20}\times \frac{112}{5}$$

Multiply \frac{1}{20} times \frac{112}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 112}{20\times 5}$$

Do the multiplications in the fraction \frac{1\times 112}{20\times 5}.

$$x=\frac{112}{100}$$

Reduce the fraction \frac{112}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{28}{25}$$