Solve 26.80-4.5%

$$26.80-4.5 \%$$

Evaluate

$$26.755$$

Solution Steps

Expand \frac{4.5}{100} by multiplying both numerator and the denominator by 10.

$$26.8-\frac{45}{1000}$$

Reduce the fraction \frac{45}{1000} to lowest terms by extracting and canceling out 5.

$$26.8-\frac{9}{200}$$

Convert decimal number 26.8 to fraction \frac{268}{10}. Reduce the fraction \frac{268}{10} to lowest terms by extracting and canceling out 2.

$$\frac{134}{5}-\frac{9}{200}$$

Least common multiple of 5 and 200 is 200. Convert \frac{134}{5} and \frac{9}{200} to fractions with denominator 200.

$$\frac{5360}{200}-\frac{9}{200}$$

Since \frac{5360}{200} and \frac{9}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5360-9}{200}$$

Subtract 9 from 5360 to get 5351.

$$\frac{5351}{200}$$

Factor

$$\frac{5351}{2 ^ {3} \cdot 5 ^ {2}} = 26\frac{151}{200} = 26.755$$