Solve Mixed Number Division: 6½ ÷ 1¼ Step-by-Step

To solve this problem, we'll convert the mixed numbers to improper fractions and then perform the division.

• Step 1: Convert $6\frac{1}{2}$ to an improper fraction:

$6\frac{1}{2} = \frac{13}{2}$.

• Step 2: Convert $1\frac{1}{4}$ to an improper fraction:

$1\frac{1}{4} = \frac{5}{4}$.

• Step 3: Divide the two improper fractions:

$\frac{13}{2} \div \frac{5}{4} = \frac{13}{2} \times \frac{4}{5}$.

• Step 4: Multiply the fractions:

$\frac{13}{2} \times \frac{4}{5} = \frac{13 \times 4}{2 \times 5} = \frac{52}{10}$.

• Step 5: Simplify $\frac{52}{10}$:

$\frac{52}{10} = \frac{26}{5} = 5\frac{1}{5}$.

Therefore, the solution to the problem is $5\frac{1}{5}$.