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\frac{4}{7}+\frac{19}{2}
The opposite of -\frac{4}{7} is \frac{4}{7}.
\frac{8}{14}+\frac{133}{14}
Least common multiple of 7 and 2 is 14. Convert \frac{4}{7} and \frac{19}{2} to fractions with denominator 14.
\frac{8+133}{14}
Since \frac{8}{14} and \frac{133}{14} have the same denominator, add them by adding their numerators.
\frac{141}{14}
Add 8 and 133 to get 141.