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\frac{3}{12}+\frac{7}{12}
Least common multiple of 4 and 12 is 12. Convert \frac{1}{4} and \frac{7}{12} to fractions with denominator 12.
\frac{3+7}{12}
Since \frac{3}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.
\frac{10}{12}
Add 3 and 7 to get 10.
\frac{5}{6}
Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.