Dividing Decimals Word Problems Worksheets - Free Printable

Problem 1: Dividing Decimals | Word Problems

#### Question 1:
Jessie went to the candy shop and bought 22.8 pounds of candies. She divided the candies equally and packed them in boxes. If each box of candies weighed 3.8 pounds, how many boxes did Jessie use to pack the candies?

Solution:
To determine how many boxes Jessie used, we need to divide the total weight of the candies by the weight of each box.

- Total weight of candies = 22.8 pounds
- Weight of each box = 3.8 pounds

We perform the division:

\[
\text{Number of boxes} = \frac{\text{Total weight of candies}}{\text{Weight of each box}} = \frac{22.8}{3.8}
\]

To simplify the division, we can eliminate the decimal by multiplying both the numerator and the denominator by 10:

\[
\frac{22.8}{3.8} = \frac{22.8 \times 10}{3.8 \times 10} = \frac{228}{38}
\]

Now, we perform the division:

\[
228 \div 38 = 6
\]

Thus, Jessie used 6 boxes to pack the candies.

Answer:
\[
\boxed{6}
\]

---

#### Question 2:
Linda walked 6.3 miles in 1.5 hours. What was the distance covered by her in one hour?

Solution:
To find the distance Linda covered in one hour, we need to calculate her speed. Speed is given by the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

- Distance = 6.3 miles
- Time = 1.5 hours

We perform the division:

\[
\text{Speed} = \frac{6.3}{1.5}
\]

To simplify the division, we can eliminate the decimal by multiplying both the numerator and the denominator by 10:

\[
\frac{6.3}{1.5} = \frac{6.3 \times 10}{1.5 \times 10} = \frac{63}{15}
\]

Now, we perform the division:

\[
63 \div 15 = 4.2
\]

Thus, Linda covered 4.2 miles in one hour.

Answer:
\[
\boxed{4.2}
\]

---

#### Question 3:
Robyn, a programmer, had a few important files saved on her computer. The space occupied by the files was 84.6 megabytes in all. If each file used a memory of 21.5 megabytes, how many files were there?

Solution:
To determine the number of files, we need to divide the total memory occupied by the files by the memory used by each file.

- Total memory occupied = 84.6 megabytes
- Memory used by each file = 21.5 megabytes

We perform the division:

\[
\text{Number of files} = \frac{\text{Total memory occupied}}{\text{Memory used by each file}} = \frac{84.6}{21.5}
\]

To simplify the division, we can eliminate the decimal by multiplying both the numerator and the denominator by 10:

\[
\frac{84.6}{21.5} = \frac{84.6 \times 10}{21.5 \times 10} = \frac{846}{215}
\]

Now, we perform the division:

\[
846 \div 215 = 4
\]

Thus, there were 4 files.

Answer:
\[
\boxed{4}
\]

---

#### Question 4:
At Squeeze Bar, Jim prepares 19.8 gallons of fresh orange juice. The juice is poured into small containers carrying 6.6 gallons each. What is the number of small containers used to hold the orange juice?

Solution:
To determine the number of small containers, we need to divide the total volume of orange juice by the volume each container can hold.

- Total volume of orange juice = 19.8 gallons
- Volume of each container = 6.6 gallons

We perform the division:

\[
\text{Number of containers} = \frac{\text{Total volume of orange juice}}{\text{Volume of each container}} = \frac{19.8}{6.6}
\]

To simplify the division, we can eliminate the decimal by multiplying both the numerator and the denominator by 10:

\[
\frac{19.8}{6.6} = \frac{19.8 \times 10}{6.6 \times 10} = \frac{198}{66}
\]

Now, we perform the division:

\[
198 \div 66 = 3
\]

Thus, Jim used 3 small containers to hold the orange juice.

Answer:
\[
\boxed{3}
\]

---

#### Question 5:
Sam wraps his return gifts and keeps them in a bag weighing 3.3 pounds. The weight of each gift is 1.65 pounds. How many gifts are in the bag?

Solution:
To determine the number of gifts, we need to divide the total weight of the bag by the weight of each gift.

- Total weight of the bag = 3.3 pounds
- Weight of each gift = 1.65 pounds

We perform the division:

\[
\text{Number of gifts} = \frac{\text{Total weight of the bag}}{\text{Weight of each gift}} = \frac{3.3}{1.65}
\]

To simplify the division, we can eliminate the decimal by multiplying both the numerator and the denominator by 100:

\[
\frac{3.3}{1.65} = \frac{3.3 \times 100}{1.65 \times 100} = \frac{330}{165}
\]

Now, we perform the division:

\[
330 \div 165 = 2
\]

Thus, there are 2 gifts in the bag.

Answer:
\[
\boxed{2}
\]

---

Final Answers:

1. \(\boxed{6}\)
2. \(\boxed{4.2}\)
3. \(\boxed{4}\)
4. \(\boxed{3}\)
5. \(\boxed{2}\)