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\frac{576}{1125}+\frac{500}{1125}
Least common multiple of 125 and 9 is 1125. Convert \frac{64}{125} and \frac{4}{9} to fractions with denominator 1125.
\frac{576+500}{1125}
Since \frac{576}{1125} and \frac{500}{1125} have the same denominator, add them by adding their numerators.
\frac{1076}{1125}
Add 576 and 500 to get 1076.