Solve 328.96+2.5%=

$$328.96+2.5 \% =$$

Evaluate

$$328.985$$

Solution Steps

Expand \frac{2.5}{100} by multiplying both numerator and the denominator by 10.

$$328.96+\frac{25}{1000}$$

Reduce the fraction \frac{25}{1000} to lowest terms by extracting and canceling out 25.

$$328.96+\frac{1}{40}$$

Convert decimal number 328.96 to fraction \frac{32896}{100}. Reduce the fraction \frac{32896}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8224}{25}+\frac{1}{40}$$

Least common multiple of 25 and 40 is 200. Convert \frac{8224}{25} and \frac{1}{40} to fractions with denominator 200.

$$\frac{65792}{200}+\frac{5}{200}$$

Since \frac{65792}{200} and \frac{5}{200} have the same denominator, add them by adding their numerators.

$$\frac{65792+5}{200}$$

Add 65792 and 5 to get 65797.

$$\frac{65797}{200}$$

Factor

$$\frac{19 \cdot 3463}{2 ^ {3} \cdot 5 ^ {2}} = 328\frac{197}{200} = 328.985$$