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\frac{36}{63}-\frac{35}{63}
Least common multiple of 7 and 9 is 63. Convert \frac{4}{7} and \frac{5}{9} to fractions with denominator 63.
\frac{36-35}{63}
Since \frac{36}{63} and \frac{35}{63} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{63}
Subtract 35 from 36 to get 1.