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\frac{3x}{24}+\frac{2\times 8}{24}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 3 is 24. Multiply \frac{x}{8} times \frac{3}{3}. Multiply \frac{2}{3} times \frac{8}{8}.
\frac{3x+2\times 8}{24}
Since \frac{3x}{24} and \frac{2\times 8}{24} have the same denominator, add them by adding their numerators.
\frac{3x+16}{24}
Do the multiplications in 3x+2\times 8.
\frac{3x+16}{24}
Factor out \frac{1}{24}.