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4.6+\frac{64}{20}
Expand \frac{6.4}{2} by multiplying both numerator and the denominator by 10.
4.6+\frac{16}{5}
Reduce the fraction \frac{64}{20} to lowest terms by extracting and canceling out 4.
\frac{23}{5}+\frac{16}{5}
Convert decimal number 4.6 to fraction \frac{46}{10}. Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.
\frac{23+16}{5}
Since \frac{23}{5} and \frac{16}{5} have the same denominator, add them by adding their numerators.
\frac{39}{5}
Add 23 and 16 to get 39.