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\frac{1445}{35}+\frac{63}{35}
Least common multiple of 7 and 5 is 35. Convert \frac{289}{7} and \frac{9}{5} to fractions with denominator 35.
\frac{1445+63}{35}
Since \frac{1445}{35} and \frac{63}{35} have the same denominator, add them by adding their numerators.
\frac{1508}{35}
Add 1445 and 63 to get 1508.