Solve 178.5-178.5*81/100

$$178.5- \frac{ 178.5 \cdot 81 }{ 100 }$$

Evaluate

$$33.915$$

Solution Steps

Multiply 178.5 and 81 to get 14458.5.

$$178.5-\frac{14458.5}{100}$$

Expand \frac{14458.5}{100} by multiplying both numerator and the denominator by 10.

$$178.5-\frac{144585}{1000}$$

Reduce the fraction \frac{144585}{1000} to lowest terms by extracting and canceling out 5.

$$178.5-\frac{28917}{200}$$

Convert decimal number 178.5 to fraction \frac{1785}{10}. Reduce the fraction \frac{1785}{10} to lowest terms by extracting and canceling out 5.

$$\frac{357}{2}-\frac{28917}{200}$$

Least common multiple of 2 and 200 is 200. Convert \frac{357}{2} and \frac{28917}{200} to fractions with denominator 200.

$$\frac{35700}{200}-\frac{28917}{200}$$

Since \frac{35700}{200} and \frac{28917}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35700-28917}{200}$$

Subtract 28917 from 35700 to get 6783.

$$\frac{6783}{200}$$

Factor

$$\frac{3 \cdot 7 \cdot 17 \cdot 19}{2 ^ {3} \cdot 5 ^ {2}} = 33\frac{183}{200} = 33.915$$