Solve the Fraction Equation: Finding the Factor in 3/4 × ? = 1/5

To solve the problem $\frac{3}{4} \times ? = \frac{1}{5}$, we need to find the value of the question mark.

• Step 1: Set up the equation for the unknown variable.
  We know $\frac{3}{4} \times ? = \frac{1}{5}$. Thus, to isolate the question mark, we will divide both sides of the equation by $\frac{3}{4}$.
• Step 2: Perform the division.
  Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, $? = \frac{1}{5} \div \frac{3}{4} = \frac{1}{5} \times \frac{4}{3}$.
• Step 3: Simplify the multiplication.
  When multiplying fractions, multiply the numerators together and the denominators together:
  $? = \frac{1 \cdot 4}{5 \cdot 3} = \frac{4}{15}$.

This calculation shows that the missing number is $\frac{4}{15}$.

Therefore, the solution to the problem is $\frac{4}{15}$.