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-\frac{9}{4}-\frac{14}{4}
Least common multiple of 4 and 2 is 4. Convert -\frac{9}{4} and \frac{7}{2} to fractions with denominator 4.
\frac{-9-14}{4}
Since -\frac{9}{4} and \frac{14}{4} have the same denominator, subtract them by subtracting their numerators.
-\frac{23}{4}
Subtract 14 from -9 to get -23.