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\frac{4}{6}+\frac{15}{6}>\frac{2}{3}-\frac{5}{2}
Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{5}{2} to fractions with denominator 6.
\frac{4+15}{6}>\frac{2}{3}-\frac{5}{2}
Since \frac{4}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.
\frac{19}{6}>\frac{2}{3}-\frac{5}{2}
Add 4 and 15 to get 19.
\frac{19}{6}>\frac{4}{6}-\frac{15}{6}
Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{5}{2} to fractions with denominator 6.
\frac{19}{6}>\frac{4-15}{6}
Since \frac{4}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{19}{6}>-\frac{11}{6}
Subtract 15 from 4 to get -11.
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Compare \frac{19}{6} and -\frac{11}{6}.