Dividing Fractions and Whole Numbers Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "Dividing Unit Fractions by Whole Numbers Using the Models Given." The task involves dividing unit fractions (fractions with numerator 1) by whole numbers, using visual models to help understand the concept.

Since I can't view images directly, I'll guide you through solving this type of problem step-by-step based on the typical structure of such worksheets. Let's assume the worksheet has problems like:

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Example Problems:

Each problem shows a fraction bar or area model divided into parts, and asks you to divide a unit fraction by a whole number.

Let’s go through common examples and solve them.

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Problem 1:

$\frac{1}{4} \div 2 = ?$

#### Step-by-Step:
We are dividing $\frac{1}{4}$ into 2 equal parts.

- Think: "If I have one-fourth of a whole, and I split that into 2 equal pieces, how big is each piece?"
- This means we're taking $\frac{1}{4}$ and splitting it into 2 parts → each part is $\frac{1}{8}$.
- So, $\frac{1}{4} \div 2 = \frac{1}{8}$

✔ Answer: $\frac{1}{8}$

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Problem 2:

$\frac{1}{3} \div 4 = ?$

- We take $\frac{1}{3}$ and divide it into 4 equal parts.
- Each part will be $\frac{1}{3} \times \frac{1}{4} = \frac{1}{12}$
- So, $\frac{1}{3} \div 4 = \frac{1}{12}$

✔ Answer: $\frac{1}{12}$

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Problem 3:

$\frac{1}{6} \div 3 = ?$

- Divide $\frac{1}{6}$ into 3 equal parts.
- Each part is $\frac{1}{6} \times \frac{1}{3} = \frac{1}{18}$
- So, $\frac{1}{6} \div 3 = \frac{1}{18}$

✔ Answer: $\frac{1}{18}$

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Problem 4:

$\frac{1}{5} \div 2 = ?$

- Split $\frac{1}{5}$ into 2 parts → each is $\frac{1}{10}$
- So, $\frac{1}{5} \div 2 = \frac{1}{10}$

✔ Answer: $\frac{1}{10}$

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General Rule:

To divide a unit fraction by a whole number:

$$
\frac{1}{a} \div b = \frac{1}{a \times b}
$$

So, just multiply the denominator by the whole number.

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How to Use the Models:

The colored bars likely show:
- A whole divided into parts (e.g., 4 parts for $\frac{1}{4}$)
- Then each of those parts is subdivided further (e.g., into 2 more parts for division by 2)

For example, if you have a bar showing $\frac{1}{4}$ shaded, and then that shaded part is split into 2 smaller pieces, each small piece represents $\frac{1}{8}$.

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Final Answers (Example):

Assuming your worksheet has these problems:

1. $\frac{1}{4} \div 2 = \boxed{\frac{1}{8}}$
2. $\frac{1}{3} \div 4 = \boxed{\frac{1}{12}}$
3. $\frac{1}{6} \div 3 = \boxed{\frac{1}{18}}$
4. $\frac{1}{5} \div 2 = \boxed{\frac{1}{10}}$

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If you can describe the specific models or write down the exact fractions and divisors in your image, I can give you the exact answers for your worksheet.

But based on standard problems like this, the method is consistent:
👉 Divide the unit fraction by multiplying the denominator by the whole number.

Let me know if you'd like me to walk through a specific model from your image!