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\frac{144}{136}-\frac{119}{136}
Least common multiple of 17 and 8 is 136. Convert \frac{18}{17} and \frac{7}{8} to fractions with denominator 136.
\frac{144-119}{136}
Since \frac{144}{136} and \frac{119}{136} have the same denominator, subtract them by subtracting their numerators.
\frac{25}{136}
Subtract 119 from 144 to get 25.