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-1.75+\frac{7+1}{7}
Multiply 1 and 7 to get 7.
-1.75+\frac{8}{7}
Add 7 and 1 to get 8.
-\frac{7}{4}+\frac{8}{7}
Convert decimal number -1.75 to fraction -\frac{175}{100}. Reduce the fraction -\frac{175}{100} to lowest terms by extracting and canceling out 25.
-\frac{49}{28}+\frac{32}{28}
Least common multiple of 4 and 7 is 28. Convert -\frac{7}{4} and \frac{8}{7} to fractions with denominator 28.
\frac{-49+32}{28}
Since -\frac{49}{28} and \frac{32}{28} have the same denominator, add them by adding their numerators.
-\frac{17}{28}
Add -49 and 32 to get -17.