Solve .998+32.99%text{of}399

$$.998 + 32.99 \% \text { of } 399$$

Evaluate

$$132.6281$$

Solution Steps

Expand \frac{32.99}{100} by multiplying both numerator and the denominator by 100.

$$0.998+\frac{3299}{10000}\times 399$$

Express \frac{3299}{10000}\times 399 as a single fraction.

$$0.998+\frac{3299\times 399}{10000}$$

Multiply 3299 and 399 to get 1316301.

$$0.998+\frac{1316301}{10000}$$

Convert decimal number 0.998 to fraction \frac{998}{1000}. Reduce the fraction \frac{998}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{499}{500}+\frac{1316301}{10000}$$

Least common multiple of 500 and 10000 is 10000. Convert \frac{499}{500} and \frac{1316301}{10000} to fractions with denominator 10000.

$$\frac{9980}{10000}+\frac{1316301}{10000}$$

Since \frac{9980}{10000} and \frac{1316301}{10000} have the same denominator, add them by adding their numerators.

$$\frac{9980+1316301}{10000}$$

Add 9980 and 1316301 to get 1326281.

$$\frac{1326281}{10000}$$

Factor

$$\frac{97 \cdot 113 \cdot 11 ^ {2}}{2 ^ {4} \cdot 5 ^ {4}} = 132\frac{6281}{10000} = 132.6281$$