To clear the fractions in the equation \( \frac{1}{3}x + \frac{1}{6}y = 4 \), Rashonda can multiply every term in the equation by the least common multiple (LCM) of the denominators (3 and 6).
The LCM of 3 and 6 is 6.
So, Rashonda should multiply the entire equation by 6:
\[ 6 \left(\frac{1}{3}x\right) + 6 \left(\frac{1}{6}y\right) = 6 \cdot 4 \]
Calculating that gives:
\[ 2x + y = 24 \]
Thus, by multiplying the equation by 6, she will clear the fractions.