Solve x-25.5%=74.5

$$x-25.5 \% =74.5$$

Solve for x

$$x=74.755$$

Steps for Solving Linear Equation

Expand \frac{25.5}{100} by multiplying both numerator and the denominator by 10.

$$x-\frac{255}{1000}=74.5$$

Reduce the fraction \frac{255}{1000} to lowest terms by extracting and canceling out 5.

$$x-\frac{51}{200}=74.5$$

Add \frac{51}{200} to both sides.

$$x=74.5+\frac{51}{200}$$

Convert decimal number 74.5 to fraction \frac{745}{10}. Reduce the fraction \frac{745}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{149}{2}+\frac{51}{200}$$

Least common multiple of 2 and 200 is 200. Convert \frac{149}{2} and \frac{51}{200} to fractions with denominator 200.

$$x=\frac{14900}{200}+\frac{51}{200}$$

Since \frac{14900}{200} and \frac{51}{200} have the same denominator, add them by adding their numerators.

$$x=\frac{14900+51}{200}$$

Add 14900 and 51 to get 14951.

$$x=\frac{14951}{200}$$