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\frac{7}{2}+\frac{1}{3}
Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.
\frac{21}{6}+\frac{2}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{1}{3} to fractions with denominator 6.
\frac{21+2}{6}
Since \frac{21}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.
\frac{23}{6}
Add 21 and 2 to get 23.