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\frac{25}{40}+\frac{4}{40}
Least common multiple of 8 and 10 is 40. Convert \frac{5}{8} and \frac{1}{10} to fractions with denominator 40.
\frac{25+4}{40}
Since \frac{25}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.
\frac{29}{40}
Add 25 and 4 to get 29.