Solve the Fraction Equation: 1/4 × ? = 1/5

To solve this problem, we'll follow these steps:

• Step 1: Identify the known values and the variable to solve for.
• Step 2: Rearrange the equation to isolate the unknown variable.
• Step 3: Perform the arithmetic calculation to find the solution.

Now, let's work through each step:

Step 1: We have the equation $\frac{1}{4} \times ? = \frac{1}{5}$. Our task is to find the value of the question mark (?).

Step 2: To isolate the question mark, we divide both sides of the equation by $\frac{1}{4}$. This is equivalent to multiplying both sides by the reciprocal of $\frac{1}{4}$, which is $4$. Thus, we have:

$? = \frac{1}{5} \times 4$

Step 3: Perform the multiplication:

$? = \frac{1 \times 4}{5 \times 1} = \frac{4}{5}$

Therefore, the number that satisfies the equation is $\frac{4}{5}$.

The correct answer is choice 1: $\frac{4}{5}$.