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\frac{19}{76}+\frac{32}{76}
Least common multiple of 4 and 19 is 76. Convert \frac{1}{4} and \frac{8}{19} to fractions with denominator 76.
\frac{19+32}{76}
Since \frac{19}{76} and \frac{32}{76} have the same denominator, add them by adding their numerators.
\frac{51}{76}
Add 19 and 32 to get 51.