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\frac{38}{88}-\frac{23}{88}
Least common multiple of 44 and 88 is 88. Convert \frac{19}{44} and \frac{23}{88} to fractions with denominator 88.
\frac{38-23}{88}
Since \frac{38}{88} and \frac{23}{88} have the same denominator, subtract them by subtracting their numerators.
\frac{15}{88}
Subtract 23 from 38 to get 15.