The problem in the image involves a division and multiplication sequence. Here's a breakdown of how to solve it:

We are given the equation:

$3 \div \frac{1}{5} \times \_ \_ = 15$

Step 1: Solve the division

First, calculate $3 \div \frac{1}{5}$. Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of $\frac{1}{5}$ is $5$.

So, $3 \div \frac{1}{5} = 3 \times 5 = 15$

Step 2: Determine the multiplication factor

The equation becomes: $15 \times \_ \_ = 15$

To make this equation true, the missing number must be $1$.

Thus, the complete equation is: $3 \div \frac{1}{5} \times 1 = 15$

Would you like further details on this solution?

Here are five related questions that build on this concept:

1. How do you multiply a whole number by a fraction?
2. What is the reciprocal of a fraction and why is it used in division?
3. How would this problem change if the divisor was $\frac{1}{3}$ instead of $\frac{1}{5}$?
4. Can you solve a similar problem with a different set of numbers, like $4 \div \frac{2}{3}$?
5. How does changing the multiplication factor affect the final solution?

Tip: Always remember to change division of a fraction into multiplication by its reciprocal to simplify the problem.