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\frac{40}{675}+\frac{117}{675}
Least common multiple of 135 and 75 is 675. Convert \frac{8}{135} and \frac{13}{75} to fractions with denominator 675.
\frac{40+117}{675}
Since \frac{40}{675} and \frac{117}{675} have the same denominator, add them by adding their numerators.
\frac{157}{675}
Add 40 and 117 to get 157.