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\frac{48}{280}+\frac{15}{280}
Least common multiple of 35 and 56 is 280. Convert \frac{6}{35} and \frac{3}{56} to fractions with denominator 280.
\frac{48+15}{280}
Since \frac{48}{280} and \frac{15}{280} have the same denominator, add them by adding their numerators.
\frac{63}{280}
Add 48 and 15 to get 63.
\frac{9}{40}
Reduce the fraction \frac{63}{280} to lowest terms by extracting and canceling out 7.