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\frac{1053}{2925}-\frac{350}{2925}
Least common multiple of 25 and 117 is 2925. Convert \frac{9}{25} and \frac{14}{117} to fractions with denominator 2925.
\frac{1053-350}{2925}
Since \frac{1053}{2925} and \frac{350}{2925} have the same denominator, subtract them by subtracting their numerators.
\frac{703}{2925}
Subtract 350 from 1053 to get 703.