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\frac{9}{2}-20+\frac{1.5}{1}
Anything divided by one gives itself.
\frac{9}{2}-\frac{40}{2}+\frac{1.5}{1}
Convert 20 to fraction \frac{40}{2}.
\frac{9-40}{2}+\frac{1.5}{1}
Since \frac{9}{2} and \frac{40}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{31}{2}+\frac{1.5}{1}
Subtract 40 from 9 to get -31.
-\frac{31}{2}+1.5
Anything divided by one gives itself.
-\frac{31}{2}+\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{-31+3}{2}
Since -\frac{31}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.
\frac{-28}{2}
Add -31 and 3 to get -28.
-14
Divide -28 by 2 to get -14.