Solve 304.8+9.5%

$$304.8+9.5 \%$$

Evaluate

$$304.895$$

Solution Steps

Expand \frac{9.5}{100} by multiplying both numerator and the denominator by 10.

$$304.8+\frac{95}{1000}$$

Reduce the fraction \frac{95}{1000} to lowest terms by extracting and canceling out 5.

$$304.8+\frac{19}{200}$$

Convert decimal number 304.8 to fraction \frac{3048}{10}. Reduce the fraction \frac{3048}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1524}{5}+\frac{19}{200}$$

Least common multiple of 5 and 200 is 200. Convert \frac{1524}{5} and \frac{19}{200} to fractions with denominator 200.

$$\frac{60960}{200}+\frac{19}{200}$$

Since \frac{60960}{200} and \frac{19}{200} have the same denominator, add them by adding their numerators.

$$\frac{60960+19}{200}$$

Add 60960 and 19 to get 60979.

$$\frac{60979}{200}$$

Factor

$$\frac{211 \cdot 17 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 304\frac{179}{200} = 304.895$$