Solve Fraction Division: 5/2 ÷ 1/4 Step-by-Step

To solve this problem, we'll use division of fractions by multiplying by the reciprocal:

• Step 1: Identify the reciprocal of the divisor.
  The divisor is $\frac{1}{4}$, and its reciprocal is $4$.
• Step 2: Multiply the dividend by the reciprocal of the divisor.
  Compute $\frac{5}{2} \times 4$.
• Step 3: Perform the multiplication.
  $\frac{5}{2} \times 4 = \frac{5 \times 4}{2} = \frac{20}{2} = 10$.

Therefore, the solution to the problem is $10$.