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\frac{3}{2}+\frac{35+3}{7}
Multiply 5 and 7 to get 35.
\frac{3}{2}+\frac{38}{7}
Add 35 and 3 to get 38.
\frac{21}{14}+\frac{76}{14}
Least common multiple of 2 and 7 is 14. Convert \frac{3}{2} and \frac{38}{7} to fractions with denominator 14.
\frac{21+76}{14}
Since \frac{21}{14} and \frac{76}{14} have the same denominator, add them by adding their numerators.
\frac{97}{14}
Add 21 and 76 to get 97.