Division as Fractions Word Problems Worksheet / Worksheet - Free Printable

Let's solve each of the Division as Fractions Problems step by step and explain the solutions clearly.

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Problem 1:

> A baker had 25 pounds of chocolate for icing cakes. She split the chocolate between 6 batches of icing. How much chocolate did each batch get?

#### Step-by-step Solution:
We need to divide 25 pounds of chocolate equally among 6 batches:
$$
\frac{25}{6}
$$

This is an improper fraction. Let's convert it into a mixed number:

- $ 6 \times 4 = 24 $, so $ 25 \div 6 = 4 $ with a remainder of $ 1 $
- So, $ \frac{25}{6} = 4 \frac{1}{6} $

#### ✔ Final Answer:
$ 4 \frac{1}{6} $ pounds
Word form: Four and one-sixth pounds
Expanded form: $ 4 + \frac{1}{6} $ pounds

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Problem 2:

> Grandma had 39 yards of fabric to make 4 dresses. If she splits the fabric equally, how much fabric will be used for each dress?

#### Step-by-step Solution:
Divide 39 yards by 4:
$$
\frac{39}{4}
$$

Convert to a mixed number:

- $ 4 \times 9 = 36 $, remainder $ 3 $
- So, $ \frac{39}{4} = 9 \frac{3}{4} $

#### ✔ Final Answer:
$ 9 \frac{3}{4} $ yards
Word form: Nine and three-fourths yards
Expanded form: $ 9 + \frac{3}{4} $ yards

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Problem 3:

> Mrs. Tims bought 16 cups of juice. Her kids will drink the same amount each day and finish it in 3 days. How many cups of juice will her children drink each day?

#### Step-by-step Solution:
Divide 16 cups by 3 days:
$$
\frac{16}{3}
$$

Convert to a mixed number:

- $ 3 \times 5 = 15 $, remainder $ 1 $
- So, $ \frac{16}{3} = 5 \frac{1}{3} $

#### ✔ Final Answer:
$ 5 \frac{1}{3} $ cups
Word form: Five and one-third cups
Expanded form: $ 5 + \frac{1}{3} $ cups

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Problem 4:

> The vet gave a kitten 13 ounces of medicine to be taken in equal doses over 8 days. How much medicine will the kitten take each day?

#### Step-by-step Solution:
Divide 13 ounces by 8 days:
$$
\frac{13}{8}
$$

Convert to a mixed number:

- $ 8 \times 1 = 8 $, remainder $ 5 $
- So, $ \frac{13}{8} = 1 \frac{5}{8} $

#### ✔ Final Answer:
$ 1 \frac{5}{8} $ ounces
Word form: One and five-eighths ounces
Expanded form: $ 1 + \frac{5}{8} $ ounces

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Problem 5:

> Tenus decides to watch a 118-minute movie over the course of 4 days. If she watches the same amount each day, how many minutes will she watch per day?

#### Step-by-step Solution:
Divide 118 minutes by 4 days:
$$
\frac{118}{4}
$$

Simplify the fraction:

- Divide numerator and denominator by 2: $ \frac{59}{2} $
- $ \frac{59}{2} = 29 \frac{1}{2} $

#### ✔ Final Answer:
$ 29 \frac{1}{2} $ minutes
Word form: Twenty-nine and one-half minutes
Expanded form: $ 29 + \frac{1}{2} $ minutes

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✔ Summary of Answers:

| Problem | Final Answer (Mixed Number) | Word Form | Expanded Form |
|--------|-----------------------------|-----------|----------------|
| 1 | $ 4 \frac{1}{6} $ | Four and one-sixth pounds | $ 4 + \frac{1}{6} $ |
| 2 | $ 9 \frac{3}{4} $ | Nine and three-fourths yards | $ 9 + \frac{3}{4} $ |
| 3 | $ 5 \frac{1}{3} $ | Five and one-third cups | $ 5 + \frac{1}{3} $ |
| 4 | $ 1 \frac{5}{8} $ | One and five-eighths ounces | $ 1 + \frac{5}{8} $ |
| 5 | $ 29 \frac{1}{2} $ | Twenty-nine and one-half minutes | $ 29 + \frac{1}{2} $ |

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These problems all involve division of whole numbers resulting in fractions, which is why they are categorized under "Division as Fractions." The key idea is that when you divide a whole number by another, you can express the result as a fraction or mixed number.

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