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\frac{19}{21}+\frac{114}{21}
Least common multiple of 21 and 7 is 21. Convert \frac{19}{21} and \frac{38}{7} to fractions with denominator 21.
\frac{19+114}{21}
Since \frac{19}{21} and \frac{114}{21} have the same denominator, add them by adding their numerators.
\frac{133}{21}
Add 19 and 114 to get 133.
\frac{19}{3}
Reduce the fraction \frac{133}{21} to lowest terms by extracting and canceling out 7.