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\frac{6}{4}+\frac{7}{4}-\frac{5}{2}
Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{7}{4} to fractions with denominator 4.
\frac{6+7}{4}-\frac{5}{2}
Since \frac{6}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.
\frac{13}{4}-\frac{5}{2}
Add 6 and 7 to get 13.
\frac{13}{4}-\frac{10}{4}
Least common multiple of 4 and 2 is 4. Convert \frac{13}{4} and \frac{5}{2} to fractions with denominator 4.
\frac{13-10}{4}
Since \frac{13}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{4}
Subtract 10 from 13 to get 3.