Edna Brought 4 Pies To A Party. At The End Of The Evening, $1 \frac{5}{8}$ Pie Was Left Over. How Much Pie Did The Guests Eat?

by ADMIN 129 views

Introduction

Imagine a party where delicious pies are the star of the show. Edna, the host, brings 4 mouth-watering pies to the gathering. However, as the evening comes to a close, only a fraction of a pie remains. In this mathematical puzzle, we'll uncover the amount of pie devoured by the guests.

The Problem

Edna brought 4 pies to the party, but $1 \frac{5}{8}$ pie was left over. To find out how much pie the guests ate, we need to subtract the remaining pie from the total number of pies.

Subtracting Fractions

Before we dive into the calculation, let's review how to subtract fractions. When subtracting fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 8.

58−18=48\frac{5}{8} - \frac{1}{8} = \frac{4}{8}

Now that we have a common denominator, we can subtract the fractions.

48=12\frac{4}{8} = \frac{1}{2}

So, the guests ate $\frac{1}{2}$ of a pie.

Converting Mixed Numbers to Improper Fractions

To make the calculation easier, let's convert the mixed number $1 \frac{5}{8}$ to an improper fraction.

158=1381 \frac{5}{8} = \frac{13}{8}

Now that we have the remaining pie in improper fraction form, we can subtract it from the total number of pies.

Calculating the Amount of Pie Eaten

To find out how much pie the guests ate, we need to subtract the remaining pie from the total number of pies.

4−138=4−1584 - \frac{13}{8} = 4 - 1 \frac{5}{8}

To subtract a mixed number from a whole number, we need to convert the whole number to an improper fraction with the same denominator as the mixed number.

4=3284 = \frac{32}{8}

Now that we have the whole number in improper fraction form, we can subtract it from the remaining pie.

328−138=198\frac{32}{8} - \frac{13}{8} = \frac{19}{8}

So, the guests ate $\frac{19}{8}$ of a pie.

Converting Improper Fractions to Mixed Numbers

To make the answer more understandable, let's convert the improper fraction $\frac{19}{8}$ to a mixed number.

198=238\frac{19}{8} = 2 \frac{3}{8}

Therefore, the guests ate $2 \frac{3}{8}$ of a pie.

Conclusion

In this mathematical puzzle, we discovered that Edna's guests ate $2 \frac{3}{8}$ of a pie. By subtracting the remaining pie from the total number of pies, we were able to uncover the amount of pie devoured by the guests. This problem demonstrates the importance of understanding fractions and how to subtract them.

Real-World Applications

This problem may seem trivial, but it has real-world applications. In cooking, measuring ingredients accurately is crucial. When a recipe calls for a fraction of an ingredient, it's essential to understand how to subtract fractions to ensure the correct amount is used.

Tips and Variations

  • To make this problem more challenging, you can add more pies to the party or change the amount of pie left over.
  • You can also use this problem as a teaching tool to help students understand fractions and how to subtract them.
  • In a real-world scenario, you may need to subtract fractions to calculate the amount of material needed for a project or the amount of time required to complete a task.

Practice Problems

  • If Edna brought 6 pies to the party and $2 \frac{1}{4}$ pie was left over, how much pie did the guests eat?
  • If Edna brought 3 pies to the party and $1 \frac{3}{4}$ pie was left over, how much pie did the guests eat?

Answer Key

  • If Edna brought 6 pies to the party and $2 \frac{1}{4}$ pie was left over, the guests ate $3 \frac{3}{4}$ of a pie.
  • If Edna brought 3 pies to the party and $1 \frac{3}{4}$ pie was left over, the guests ate $1 \frac{1}{4}$ of a pie.
    Edna's Pie Party: A Mathematical Mystery - Q&A =====================================================

Introduction

In our previous article, we explored the mathematical puzzle of Edna's pie party, where 4 pies were brought to the gathering, and $1 \frac{5}{8}$ pie was left over. We discovered that the guests ate $2 \frac{3}{8}$ of a pie. In this Q&A article, we'll delve deeper into the world of fractions and explore more questions and answers related to Edna's pie party.

Q: What is the total number of pies brought to the party?

A: Edna brought 4 pies to the party.

Q: What is the amount of pie left over at the end of the party?

A: $1 \frac{5}{8}$ pie was left over.

Q: How much pie did the guests eat?

A: The guests ate $2 \frac{3}{8}$ of a pie.

Q: What is the common denominator for the fractions in this problem?

A: The common denominator is 8.

Q: How do you convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, you multiply the whole number by the denominator and add the numerator.

Q: How do you subtract fractions with different denominators?

A: To subtract fractions with different denominators, you need to find a common denominator and then subtract the fractions.

Q: What is the importance of understanding fractions in real-world applications?

A: Understanding fractions is crucial in real-world applications, such as cooking, where measuring ingredients accurately is essential.

Q: Can you provide more practice problems related to Edna's pie party?

A: Here are a few more practice problems:

  • If Edna brought 6 pies to the party and $2 \frac{1}{4}$ pie was left over, how much pie did the guests eat?
  • If Edna brought 3 pies to the party and $1 \frac{3}{4}$ pie was left over, how much pie did the guests eat?

Q: What is the answer key for the practice problems?

A: Here are the answers to the practice problems:

  • If Edna brought 6 pies to the party and $2 \frac{1}{4}$ pie was left over, the guests ate $3 \frac{3}{4}$ of a pie.
  • If Edna brought 3 pies to the party and $1 \frac{3}{4}$ pie was left over, the guests ate $1 \frac{1}{4}$ of a pie.

Q: Can you provide more tips and variations for this problem?

A: Here are a few more tips and variations:

  • To make this problem more challenging, you can add more pies to the party or change the amount of pie left over.
  • You can also use this problem as a teaching tool to help students understand fractions and how to subtract them.
  • In a real-world scenario, you may need to subtract fractions to calculate the amount of material needed for a project or the amount of time required to complete a task.

Conclusion

In this Q&A article, we explored more questions and answers related to Edna's pie party. We delved deeper into the world of fractions and provided more practice problems and tips and variations. We hope this article has been helpful in understanding the mathematical puzzle of Edna's pie party.