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-4+\frac{9}{4}+0.5
Reduce the fraction \frac{36}{16} to lowest terms by extracting and canceling out 4.
-\frac{16}{4}+\frac{9}{4}+0.5
Convert -4 to fraction -\frac{16}{4}.
\frac{-16+9}{4}+0.5
Since -\frac{16}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.
-\frac{7}{4}+0.5
Add -16 and 9 to get -7.
-\frac{7}{4}+\frac{1}{2}
Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
-\frac{7}{4}+\frac{2}{4}
Least common multiple of 4 and 2 is 4. Convert -\frac{7}{4} and \frac{1}{2} to fractions with denominator 4.
\frac{-7+2}{4}
Since -\frac{7}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.
-\frac{5}{4}
Add -7 and 2 to get -5.