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\frac{100}{-75}+\frac{1}{10}
Expand \frac{1}{-0.75} by multiplying both numerator and the denominator by 100.
-\frac{4}{3}+\frac{1}{10}
Reduce the fraction \frac{100}{-75} to lowest terms by extracting and canceling out 25.
-\frac{40}{30}+\frac{3}{30}
Least common multiple of 3 and 10 is 30. Convert -\frac{4}{3} and \frac{1}{10} to fractions with denominator 30.
\frac{-40+3}{30}
Since -\frac{40}{30} and \frac{3}{30} have the same denominator, add them by adding their numerators.
-\frac{37}{30}
Add -40 and 3 to get -37.