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\frac{714}{720}+\frac{5}{720}
Least common multiple of 120 and 144 is 720. Convert \frac{119}{120} and \frac{1}{144} to fractions with denominator 720.
\frac{714+5}{720}
Since \frac{714}{720} and \frac{5}{720} have the same denominator, add them by adding their numerators.
\frac{719}{720}
Add 714 and 5 to get 719.