Determine the result of the subtraction operation:
$6 \frac{1}{4}-2 \frac{5}{6}$
Final Answer: The result of the subtraction operation $6 \frac{1}{4}-2 \frac{5}{6}$ is \(\boxed{\frac{41}{12}}\).
Step 1 :Convert the mixed numbers into improper fractions. The first number, $6 \frac{1}{4}$, becomes $\frac{25}{4}$ and the second number, $2 \frac{5}{6}$, becomes $\frac{17}{6}$.
Step 2 :Subtract the two fractions: $\frac{25}{4} - \frac{17}{6} = \frac{41}{12}$.
Step 3 :Final Answer: The result of the subtraction operation $6 \frac{1}{4}-2 \frac{5}{6}$ is \(\boxed{\frac{41}{12}}\).