Dividing Fractions Word Problems Worksheets - Free Printable

Let's solve each problem step by step from the worksheet titled "Dividing Fractions and Whole Numbers".

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Problem 1:

> Anne buys 3 Easter dolls to gift her little cousins. If she uses $\frac{2}{3}$ of a roll of gift wrap to pack the dolls, what fraction of the gift wrap does she use to pack each doll?

#### Step-by-step Solution:

She uses $\frac{2}{3}$ of a roll for 3 dolls, so we want to divide this amount equally among the 3 dolls:

$$
\frac{2}{3} \div 3 = \frac{2}{3} \times \frac{1}{3} = \frac{2}{9}
$$

✔ Answer: $\boxed{\frac{2}{9}}$ of the roll per doll.

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Problem 2:

> Drake uses $\frac{3}{4}$ cup of sugar to make 9 cups of brownies. How much sugar is required to make one cup?

We are dividing the total sugar used by the number of cups of brownies:

$$
\frac{3}{4} \div 9 = \frac{3}{4} \times \frac{1}{9} = \frac{3}{36} = \frac{1}{12}
$$

✔ Answer: $\boxed{\frac{1}{12}}$ cup of sugar per cup of brownies.

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Problem 3:

> Sean and his sister, Betty, share $\frac{3}{4}$ of the total area of their lawn. If they divide the chore equally, what fraction of the total area does Sean mow?

They share $\frac{3}{4}$ of the lawn together, and split it equally:

$$
\frac{3}{4} \div 2 = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8}
$$

✔ Answer: $\boxed{\frac{3}{8}}$ of the total area.

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Problem 4:

> Jane uses $\frac{1}{4}$ of a cup of cereal for breakfast every day. If her box contains a total of 20 cups, how many days will it take to finish the cereal?

We need to divide the total amount of cereal by the daily usage:

$$
20 \div \frac{1}{4} = 20 \times 4 = 80
$$

✔ Answer: $\boxed{80}$ days.

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Problem 5:

> Lucy bought $\frac{13}{4}$ pounds of blueberries at the farmers' market, which she kept in 3 jars and had an equal amount in each jar. How many pounds of blueberries were in each jar?

Divide the total weight by the number of jars:

$$
\frac{13}{4} \div 3 = \frac{13}{4} \times \frac{1}{3} = \frac{13}{12}
$$

Convert to mixed number: $\frac{13}{12} = 1 \frac{1}{12}$

✔ Answer: $\boxed{1 \frac{1}{12}}$ pounds per jar.

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✔ Final Answers:

1. $\frac{2}{9}$
2. $\frac{1}{12}$
3. $\frac{3}{8}$
4. $80$ days
5. $1 \frac{1}{12}$ pounds

Let me know if you'd like these explained with visual models or real-life analogies!