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\frac{3+1}{3}+\frac{7}{10}
Multiply 1 and 3 to get 3.
\frac{4}{3}+\frac{7}{10}
Add 3 and 1 to get 4.
\frac{40}{30}+\frac{21}{30}
Least common multiple of 3 and 10 is 30. Convert \frac{4}{3} and \frac{7}{10} to fractions with denominator 30.
\frac{40+21}{30}
Since \frac{40}{30} and \frac{21}{30} have the same denominator, add them by adding their numerators.
\frac{61}{30}
Add 40 and 21 to get 61.