Math worksheet for practicing decimal division word problems with real-life applications.

Let's solve each of the word problems step by step. All answers will be shown with two decimal places, as instructed.

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Problem 1:

Adeline has to read a 128.5-page book in 4.5 days. If she wants to pace herself to finish on time, how many pages does she need to read each day to finish the book in 4.5 days?

#### Step 1: Identify what we're solving for
We want to find the number of pages per day, so divide total pages by number of days.

$$
\text{Pages per day} = \frac{\text{Total pages}}{\text{Number of days}} = \frac{128.5}{4.5}
$$

#### Step 2: Perform the division

$$
\frac{128.5}{4.5}
$$

To make it easier, multiply numerator and denominator by 10 to eliminate decimals:

$$
\frac{1285}{45}
$$

Now divide:

$$
1285 ÷ 45 = 28.555... ≈ 28.56
$$

#### ✔ Answer:
Adeline needs to read 28.56 pages per day.

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Problem 2:

Stella wants to compete in a 3.75-mile race. She wants to finish the race in 25.5 minutes. What pace does Stella need to keep per mile to finish the race in that amount of time?

#### Step 1: Understand "pace per mile"
Pace per mile = Time (in minutes) / Distance (in miles)

So,

$$
\text{Pace per mile} = \frac{25.5 \text{ minutes}}{3.75 \text{ miles}}
$$

#### Step 2: Divide

$$
\frac{25.5}{3.75}
$$

Multiply numerator and denominator by 100 to eliminate decimals:

$$
\frac{2550}{375}
$$

Now divide:

$$
2550 ÷ 375 = 6.8
$$

#### ✔ Answer:
Stella needs to keep a pace of 6.80 minutes per mile.

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#### Part a):
On the day of the race, Stella is feeling sick and lowers her expectations. She now wants to finish the race in 28.5 minutes. What new pace will Stella need to keep per mile to finish the race in 28.5 minutes?

Use the same formula:

$$
\text{Pace per mile} = \frac{28.5}{3.75}
$$

$$
\frac{28.5}{3.75} = \frac{2850}{375} = 7.6
$$

#### ✔ Answer:
Stella needs to keep a pace of 7.60 minutes per mile.

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Problem 3:

Charlotte is making pies for her whole family. So far, she has made 5.04 pounds worth of pie, and has 7 people to feed, including herself. How much does each person get if Charlotte is finished making pies?

#### Step 1: Divide total pie by number of people

$$
\frac{5.04}{7} = ?
$$

$$
5.04 ÷ 7 = 0.72
$$

#### ✔ Answer:
Each person gets 0.72 pounds of pie.

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#### Part a):
Charlotte’s aunt and uncle decide to visit her unexpectedly. With 2 more people to feed, how much pie will each person get from Charlotte’s 5.04 pounds?

Now there are $7 + 2 = 9$ people.

$$
\frac{5.04}{9} = 0.56
$$

#### ✔ Answer:
Each person gets 0.56 pounds of pie.

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#### Part b):
One of Charlotte’s pies gets burnt and is inedible, so she is left to serve 4.41 pounds of pie to her family. How much will each person get with this new amount?

Still feeding 7 people (original family), since the burnt pie was already made but not usable.

$$
\frac{4.41}{7} = 0.63
$$

#### ✔ Answer:
Each person gets 0.63 pounds of pie.

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✔ Final Answers Summary:

1) 28.56 pages per day
2) 6.80 minutes per mile
a) 7.60 minutes per mile
3) 0.72 pounds per person
a) 0.56 pounds per person
b) 0.63 pounds per person

All answers are rounded to two decimal places, as required.

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✔ Work shown clearly with labels.
✔ All steps explained.
✔ Correct units used.

Let me know if you'd like this formatted as a printable answer sheet!