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\frac{15+4}{5}+\frac{\frac{6\times 4+1}{4}}{\frac{3\times 4+3}{4}}
Multiply 3 and 5 to get 15.
\frac{19}{5}+\frac{\frac{6\times 4+1}{4}}{\frac{3\times 4+3}{4}}
Add 15 and 4 to get 19.
\frac{19}{5}+\frac{\left(6\times 4+1\right)\times 4}{4\left(3\times 4+3\right)}
Divide \frac{6\times 4+1}{4} by \frac{3\times 4+3}{4} by multiplying \frac{6\times 4+1}{4} by the reciprocal of \frac{3\times 4+3}{4}.
\frac{19}{5}+\frac{1+4\times 6}{3+3\times 4}
Cancel out 4 in both numerator and denominator.
\frac{19}{5}+\frac{1+24}{3+3\times 4}
Multiply 4 and 6 to get 24.
\frac{19}{5}+\frac{25}{3+3\times 4}
Add 1 and 24 to get 25.
\frac{19}{5}+\frac{25}{3+12}
Multiply 3 and 4 to get 12.
\frac{19}{5}+\frac{25}{15}
Add 3 and 12 to get 15.
\frac{19}{5}+\frac{5}{3}
Reduce the fraction \frac{25}{15} to lowest terms by extracting and canceling out 5.
\frac{57}{15}+\frac{25}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{19}{5} and \frac{5}{3} to fractions with denominator 15.
\frac{57+25}{15}
Since \frac{57}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.
\frac{82}{15}
Add 57 and 25 to get 82.