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24\left(\frac{9}{24}+\frac{20}{24}\right)
Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{5}{6} to fractions with denominator 24.
24\times \frac{9+20}{24}
Since \frac{9}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.
24\times \frac{29}{24}
Add 9 and 20 to get 29.
29
Cancel out 24 and 24.