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\frac{99}{10}+\frac{46}{10}
Least common multiple of 10 and 5 is 10. Convert \frac{99}{10} and \frac{23}{5} to fractions with denominator 10.
\frac{99+46}{10}
Since \frac{99}{10} and \frac{46}{10} have the same denominator, add them by adding their numerators.
\frac{145}{10}
Add 99 and 46 to get 145.
\frac{29}{2}
Reduce the fraction \frac{145}{10} to lowest terms by extracting and canceling out 5.