Solve x+7.5/100.39=74.39%

$$\frac { x + 7.5 } { 100.39 } = 74.39 \%$$

Solve for x

$$x=67.180121$$

Steps for Solving Linear Equation

Expand \frac{74.39}{100} by multiplying both numerator and the denominator by 100.

$$\frac{x+7.5}{100.39}=\frac{7439}{10000}$$

Divide each term of x+7.5 by 100.39 to get \frac{x}{100.39}+\frac{7.5}{100.39}.

$$\frac{x}{100.39}+\frac{7.5}{100.39}=\frac{7439}{10000}$$

Expand \frac{7.5}{100.39} by multiplying both numerator and the denominator by 100.

$$\frac{x}{100.39}+\frac{750}{10039}=\frac{7439}{10000}$$

Subtract \frac{750}{10039} from both sides.

$$\frac{x}{100.39}=\frac{7439}{10000}-\frac{750}{10039}$$

Least common multiple of 10000 and 10039 is 100390000. Convert \frac{7439}{10000} and \frac{750}{10039} to fractions with denominator 100390000.

$$\frac{x}{100.39}=\frac{74680121}{100390000}-\frac{7500000}{100390000}$$

Since \frac{74680121}{100390000} and \frac{7500000}{100390000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x}{100.39}=\frac{74680121-7500000}{100390000}$$

Subtract 7500000 from 74680121 to get 67180121.

$$\frac{x}{100.39}=\frac{67180121}{100390000}$$

Multiply both sides by 100.39.

$$x=\frac{67180121}{100390000}\times 100.39$$

Convert decimal number 100.39 to fraction \frac{10039}{100}.

$$x=\frac{67180121}{100390000}\times \frac{10039}{100}$$

Multiply \frac{67180121}{100390000} times \frac{10039}{100} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{67180121\times 10039}{100390000\times 100}$$

Do the multiplications in the fraction \frac{67180121\times 10039}{100390000\times 100}.

$$x=\frac{674421234719}{10039000000}$$

Reduce the fraction \frac{674421234719}{10039000000} to lowest terms by extracting and canceling out 10039.

$$x=\frac{67180121}{1000000}$$