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\frac{\frac{3}{4}+\frac{2}{4}}{\frac{1}{6}+\frac{3}{12}}
Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.
\frac{\frac{3+2}{4}}{\frac{1}{6}+\frac{3}{12}}
Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.
\frac{\frac{5}{4}}{\frac{1}{6}+\frac{3}{12}}
Add 3 and 2 to get 5.
\frac{\frac{5}{4}}{\frac{1}{6}+\frac{1}{4}}
Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.
\frac{\frac{5}{4}}{\frac{2}{12}+\frac{3}{12}}
Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{1}{4} to fractions with denominator 12.
\frac{\frac{5}{4}}{\frac{2+3}{12}}
Since \frac{2}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.
\frac{\frac{5}{4}}{\frac{5}{12}}
Add 2 and 3 to get 5.
\frac{5}{4}\times \frac{12}{5}
Divide \frac{5}{4} by \frac{5}{12} by multiplying \frac{5}{4} by the reciprocal of \frac{5}{12}.
\frac{5\times 12}{4\times 5}
Multiply \frac{5}{4} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{12}{4}
Cancel out 5 in both numerator and denominator.
3
Divide 12 by 4 to get 3.