Solve (80%-25%)W=6.6

$$( 80 \% - 25 \% ) W = 6.6$$

Solve for W

$$W=12$$

Steps for Solving Linear Equation

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\left(\frac{4}{5}-\frac{25}{100}\right)W=6.6$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\left(\frac{4}{5}-\frac{1}{4}\right)W=6.6$$

Least common multiple of 5 and 4 is 20. Convert \frac{4}{5} and \frac{1}{4} to fractions with denominator 20.

$$\left(\frac{16}{20}-\frac{5}{20}\right)W=6.6$$

Since \frac{16}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-5}{20}W=6.6$$

Subtract 5 from 16 to get 11.

$$\frac{11}{20}W=6.6$$

Multiply both sides by \frac{20}{11}, the reciprocal of \frac{11}{20}.

$$W=6.6\times \frac{20}{11}$$

Convert decimal number 6.6 to fraction \frac{66}{10}. Reduce the fraction \frac{66}{10} to lowest terms by extracting and canceling out 2.

$$W=\frac{33}{5}\times \frac{20}{11}$$

Multiply \frac{33}{5} times \frac{20}{11} by multiplying numerator times numerator and denominator times denominator.

$$W=\frac{33\times 20}{5\times 11}$$

Do the multiplications in the fraction \frac{33\times 20}{5\times 11}.

$$W=\frac{660}{55}$$

Divide 660 by 55 to get 12.

$$W=12$$