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-\frac{30+1}{5}+4.5
Multiply 6 and 5 to get 30.
-\frac{31}{5}+4.5
Add 30 and 1 to get 31.
-\frac{31}{5}+\frac{9}{2}
Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.
-\frac{62}{10}+\frac{45}{10}
Least common multiple of 5 and 2 is 10. Convert -\frac{31}{5} and \frac{9}{2} to fractions with denominator 10.
\frac{-62+45}{10}
Since -\frac{62}{10} and \frac{45}{10} have the same denominator, add them by adding their numerators.
-\frac{17}{10}
Add -62 and 45 to get -17.