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\frac{28}{35}+\frac{30}{35}
Least common multiple of 5 and 7 is 35. Convert \frac{4}{5} and \frac{6}{7} to fractions with denominator 35.
\frac{28+30}{35}
Since \frac{28}{35} and \frac{30}{35} have the same denominator, add them by adding their numerators.
\frac{58}{35}
Add 28 and 30 to get 58.