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\frac{30+1}{10}+\frac{3}{4}
Multiply 3 and 10 to get 30.
\frac{31}{10}+\frac{3}{4}
Add 30 and 1 to get 31.
\frac{62}{20}+\frac{15}{20}
Least common multiple of 10 and 4 is 20. Convert \frac{31}{10} and \frac{3}{4} to fractions with denominator 20.
\frac{62+15}{20}
Since \frac{62}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.
\frac{77}{20}
Add 62 and 15 to get 77.