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\frac{252}{330}+\frac{445}{330}
Least common multiple of 55 and 66 is 330. Convert \frac{42}{55} and \frac{89}{66} to fractions with denominator 330.
\frac{252+445}{330}
Since \frac{252}{330} and \frac{445}{330} have the same denominator, add them by adding their numerators.
\frac{697}{330}
Add 252 and 445 to get 697.