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\frac{4+3}{4}+\frac{3\times 8+1}{8}
Multiply 1 and 4 to get 4.
\frac{7}{4}+\frac{3\times 8+1}{8}
Add 4 and 3 to get 7.
\frac{7}{4}+\frac{24+1}{8}
Multiply 3 and 8 to get 24.
\frac{7}{4}+\frac{25}{8}
Add 24 and 1 to get 25.
\frac{14}{8}+\frac{25}{8}
Least common multiple of 4 and 8 is 8. Convert \frac{7}{4} and \frac{25}{8} to fractions with denominator 8.
\frac{14+25}{8}
Since \frac{14}{8} and \frac{25}{8} have the same denominator, add them by adding their numerators.
\frac{39}{8}
Add 14 and 25 to get 39.