Solve x+7.6/102.34=73.43%

$$\frac { x + 7.6 } { 102.34 } = 73.43 \%$$

Solve for x

$$x=67.548262$$

Steps for Solving Linear Equation

Expand \frac{73.43}{100} by multiplying both numerator and the denominator by 100.

$$\frac{x+7.6}{102.34}=\frac{7343}{10000}$$

Divide each term of x+7.6 by 102.34 to get \frac{x}{102.34}+\frac{7.6}{102.34}.

$$\frac{x}{102.34}+\frac{7.6}{102.34}=\frac{7343}{10000}$$

Expand \frac{7.6}{102.34} by multiplying both numerator and the denominator by 100.

$$\frac{x}{102.34}+\frac{760}{10234}=\frac{7343}{10000}$$

Reduce the fraction \frac{760}{10234} to lowest terms by extracting and canceling out 2.

$$\frac{x}{102.34}+\frac{380}{5117}=\frac{7343}{10000}$$

Subtract \frac{380}{5117} from both sides.

$$\frac{x}{102.34}=\frac{7343}{10000}-\frac{380}{5117}$$

Least common multiple of 10000 and 5117 is 51170000. Convert \frac{7343}{10000} and \frac{380}{5117} to fractions with denominator 51170000.

$$\frac{x}{102.34}=\frac{37574131}{51170000}-\frac{3800000}{51170000}$$

Since \frac{37574131}{51170000} and \frac{3800000}{51170000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x}{102.34}=\frac{37574131-3800000}{51170000}$$

Subtract 3800000 from 37574131 to get 33774131.

$$\frac{x}{102.34}=\frac{33774131}{51170000}$$

Multiply both sides by 102.34.

$$x=\frac{33774131}{51170000}\times 102.34$$

Convert decimal number 102.34 to fraction \frac{10234}{100}. Reduce the fraction \frac{10234}{100} to lowest terms by extracting and canceling out 2.

$$x=\frac{33774131}{51170000}\times \frac{5117}{50}$$

Multiply \frac{33774131}{51170000} times \frac{5117}{50} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{33774131\times 5117}{51170000\times 50}$$

Do the multiplications in the fraction \frac{33774131\times 5117}{51170000\times 50}.

$$x=\frac{172822228327}{2558500000}$$

Reduce the fraction \frac{172822228327}{2558500000} to lowest terms by extracting and canceling out 5117.

$$x=\frac{33774131}{500000}$$