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\frac{36}{63}+\frac{7}{63}
Least common multiple of 7 and 9 is 63. Convert \frac{4}{7} and \frac{1}{9} to fractions with denominator 63.
\frac{36+7}{63}
Since \frac{36}{63} and \frac{7}{63} have the same denominator, add them by adding their numerators.
\frac{43}{63}
Add 36 and 7 to get 43.