Problem

Determine the result of the subtraction operation:
$6 \frac{1}{4}-2 \frac{5}{6}$

Answer

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Answer

Final Answer: The result of the subtraction operation $6 \frac{1}{4}-2 \frac{5}{6}$ is \(\boxed{\frac{41}{12}}\).

Steps

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 \(\boxed{\frac{41}{12}}\).

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