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\frac{2}{3000}+\frac{3}{3000}
Least common multiple of 1500 and 1000 is 3000. Convert \frac{1}{1500} and \frac{1}{1000} to fractions with denominator 3000.
\frac{2+3}{3000}
Since \frac{2}{3000} and \frac{3}{3000} have the same denominator, add them by adding their numerators.
\frac{5}{3000}
Add 2 and 3 to get 5.
\frac{1}{600}
Reduce the fraction \frac{5}{3000} to lowest terms by extracting and canceling out 5.