https://file.aiquickdraw.com/mathbot/file/1729884232809ho5ci5sx.jpg

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?

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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.

Write a multiplication expression to solve: 3 ÷ 1/5 × ____ = 15

Learn how to solve the math expression involving division and multiplication of fractions. This problem teaches key concepts like dividing by fractions and using the reciprocal to simplify calculations. Suitable for students in Grades 4-6.

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