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\frac{15}{10}+\frac{8}{10}+6
Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{4}{5} to fractions with denominator 10.
\frac{15+8}{10}+6
Since \frac{15}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.
\frac{23}{10}+6
Add 15 and 8 to get 23.
\frac{23}{10}+\frac{60}{10}
Convert 6 to fraction \frac{60}{10}.
\frac{23+60}{10}
Since \frac{23}{10} and \frac{60}{10} have the same denominator, add them by adding their numerators.
\frac{83}{10}
Add 23 and 60 to get 83.