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x_{R}=\frac{59}{144}+\frac{64}{144}
Least common multiple of 144 and 9 is 144. Convert \frac{59}{144} and \frac{4}{9} to fractions with denominator 144.
x_{R}=\frac{59+64}{144}
Since \frac{59}{144} and \frac{64}{144} have the same denominator, add them by adding their numerators.
x_{R}=\frac{123}{144}
Add 59 and 64 to get 123.
x_{R}=\frac{41}{48}
Reduce the fraction \frac{123}{144} to lowest terms by extracting and canceling out 3.