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-\frac{3}{8}+\frac{3}{2}
Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.
-\frac{3}{8}+\frac{12}{8}
Least common multiple of 8 and 2 is 8. Convert -\frac{3}{8} and \frac{3}{2} to fractions with denominator 8.
\frac{-3+12}{8}
Since -\frac{3}{8} and \frac{12}{8} have the same denominator, add them by adding their numerators.
\frac{9}{8}
Add -3 and 12 to get 9.