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\frac{2}{70}+\frac{1575}{70}
Least common multiple of 35 and 2 is 70. Convert \frac{1}{35} and \frac{45}{2} to fractions with denominator 70.
\frac{2+1575}{70}
Since \frac{2}{70} and \frac{1575}{70} have the same denominator, add them by adding their numerators.
\frac{1577}{70}
Add 2 and 1575 to get 1577.