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\frac{4+1}{4}+\frac{5}{6}
Multiply 1 and 4 to get 4.
\frac{5}{4}+\frac{5}{6}
Add 4 and 1 to get 5.
\frac{15}{12}+\frac{10}{12}
Least common multiple of 4 and 6 is 12. Convert \frac{5}{4} and \frac{5}{6} to fractions with denominator 12.
\frac{15+10}{12}
Since \frac{15}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.
\frac{25}{12}
Add 15 and 10 to get 25.