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\frac{34}{8}-\frac{13}{8}
Least common multiple of 4 and 8 is 8. Convert \frac{17}{4} and \frac{13}{8} to fractions with denominator 8.
\frac{34-13}{8}
Since \frac{34}{8} and \frac{13}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{21}{8}
Subtract 13 from 34 to get 21.