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\frac{7}{8}+\frac{12}{8}+\frac{1}{8}
Least common multiple of 8 and 2 is 8. Convert \frac{7}{8} and \frac{3}{2} to fractions with denominator 8.
\frac{7+12}{8}+\frac{1}{8}
Since \frac{7}{8} and \frac{12}{8} have the same denominator, add them by adding their numerators.
\frac{19}{8}+\frac{1}{8}
Add 7 and 12 to get 19.
\frac{19+1}{8}
Since \frac{19}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.
\frac{20}{8}
Add 19 and 1 to get 20.
\frac{5}{2}
Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.