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\frac{4}{5}+\frac{72.5+4}{5}
Multiply 14.5 and 5 to get 72.5.
\frac{4}{5}+\frac{76.5}{5}
Add 72.5 and 4 to get 76.5.
\frac{4}{5}+\frac{765}{50}
Expand \frac{76.5}{5} by multiplying both numerator and the denominator by 10.
\frac{4}{5}+\frac{153}{10}
Reduce the fraction \frac{765}{50} to lowest terms by extracting and canceling out 5.
\frac{8}{10}+\frac{153}{10}
Least common multiple of 5 and 10 is 10. Convert \frac{4}{5} and \frac{153}{10} to fractions with denominator 10.
\frac{8+153}{10}
Since \frac{8}{10} and \frac{153}{10} have the same denominator, add them by adding their numerators.
\frac{161}{10}
Add 8 and 153 to get 161.