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\frac{3}{\frac{12}{4}+\frac{3}{4}}
Convert 3 to fraction \frac{12}{4}.
\frac{3}{\frac{12+3}{4}}
Since \frac{12}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.
\frac{3}{\frac{15}{4}}
Add 12 and 3 to get 15.
3\times \frac{4}{15}
Divide 3 by \frac{15}{4} by multiplying 3 by the reciprocal of \frac{15}{4}.
\frac{3\times 4}{15}
Express 3\times \frac{4}{15} as a single fraction.
\frac{12}{15}
Multiply 3 and 4 to get 12.
\frac{4}{5}
Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.