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\frac{30+7}{15}+\frac{1\times 3+1}{3}
Multiply 2 and 15 to get 30.
\frac{37}{15}+\frac{1\times 3+1}{3}
Add 30 and 7 to get 37.
\frac{37}{15}+\frac{3+1}{3}
Multiply 1 and 3 to get 3.
\frac{37}{15}+\frac{4}{3}
Add 3 and 1 to get 4.
\frac{37}{15}+\frac{20}{15}
Least common multiple of 15 and 3 is 15. Convert \frac{37}{15} and \frac{4}{3} to fractions with denominator 15.
\frac{37+20}{15}
Since \frac{37}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.
\frac{57}{15}
Add 37 and 20 to get 57.
\frac{19}{5}
Reduce the fraction \frac{57}{15} to lowest terms by extracting and canceling out 3.