Below is a fast mental-math technique to find $\frac{5}{6}\cdot24$. Remember that $\frac{5}{6}\cdot24=5\cdot\frac{1}{6}\cdot24$.  

1. What is one sixth of $24$?

   Show Step (a):

   $\frac{1}{6}\cdot24=\frac{24}{6}$

2. What is five times that quantity?

   Show Step (b):

   Multiply $5$ by $4$.
   $5·4=20$

3. What is $\frac{5}{6}\cdot24$?

   Hint (c):

   Multiply the fraction by $24$. You should get the same answer as you found in part (b).