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\frac{987}{799}+\frac{510}{799}
Least common multiple of 17 and 47 is 799. Convert \frac{21}{17} and \frac{30}{47} to fractions with denominator 799.
\frac{987+510}{799}
Since \frac{987}{799} and \frac{510}{799} have the same denominator, add them by adding their numerators.
\frac{1497}{799}
Add 987 and 510 to get 1497.