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\frac{7}{10}+\frac{8}{10}
Least common multiple of 10 and 5 is 10. Convert \frac{7}{10} and \frac{4}{5} to fractions with denominator 10.
\frac{7+8}{10}
Since \frac{7}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.
\frac{15}{10}
Add 7 and 8 to get 15.
\frac{3}{2}
Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.