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

To solve the problem of dividing $\frac{2}{5}$ by $\frac{1}{4}$, we need to follow these steps:

• Step 1: Identify the reciprocal of $\frac{1}{4}$.
  This reciprocate is $\frac{4}{1}$.
• Step 2: Convert the division of fractions to multiplication with the reciprocal:
  $\frac{2}{5} \div \frac{1}{4} = \frac{2}{5} \times \frac{4}{1}$.
• Step 3: Perform the multiplication:
  $\frac{2 \times 4}{5 \times 1} = \frac{8}{5}$.
• Step 4: Simplify $\frac{8}{5}$ into a mixed number:
  $\frac{8}{5}$ can be written as $1\frac{3}{5}$ because 5 goes into 8 once with 3 remaining.

Therefore, the solution to the problem is $1\frac{3}{5}$.