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\frac{55}{44}-\frac{24}{44}
Least common multiple of 4 and 11 is 44. Convert \frac{5}{4} and \frac{6}{11} to fractions with denominator 44.
\frac{55-24}{44}
Since \frac{55}{44} and \frac{24}{44} have the same denominator, subtract them by subtracting their numerators.
\frac{31}{44}
Subtract 24 from 55 to get 31.