Divide: 6 ÷

Question

1
2
= 12

To verify the answer with a model, you could show
circles.
Each circle would be divided into
equal parts.

parts would be shaded.

Answer 1

To represent the division \(6 \div \frac{1}{2} = 12\) using circles, you can follow these steps:

1. Draw 6 circles: Each circle represents 1 whole.

2. Divide each circle into 2 equal parts: Since we are dividing by \(\frac{1}{2}\), each circle will be split into 2 equal halves. This means you will have a total of \(6 \times 2 = 12\) halves.

3. Shade the parts: Since you are dividing 6 by \(\frac{1}{2}\), you will shade all 12 parts to show that, when you take halves of 6, you end up with 12 parts.

Summary:

• Each of the 6 circles represents 1 unit.
• Each circle is divided into 2 equal parts (halves).
• You will end up with 12 shaded parts in total, verifying that \(6 \div \frac{1}{2} = 12\).

This visual model helps to conceptualize why dividing by a fraction results in a larger number: you are effectively counting how many halves fit into 6 wholes.