Let's solve each problem step by step.
---
Problem 1:
Peter bought 8 hamburgers for his party. At the end of the party, 3 hamburgers were left. What fraction of the hamburgers were eaten?
#### Solution:
1. Peter started with 8 hamburgers.
2. At the end of the party, 3 hamburgers were left.
3. The number of hamburgers eaten is:
\[
8 - 3 = 5
\]
4. The fraction of hamburgers eaten is:
\[
\frac{\text{Number of hamburgers eaten}}{\text{Total number of hamburgers}} = \frac{5}{8}
\]
#### Final Answer:
\[
\boxed{\frac{5}{8}}
\]
---
Problem 2:
Cameron ate 3 slices of pizza. Samantha ate 2 slices of pizza. There are 8 slices in a pizza pie. What fraction of the pizza did Samantha eat? What fraction remains?
#### Solution:
1.
Fraction of the pizza Samantha ate:
- Samantha ate 2 slices out of 8 total slices.
- The fraction is:
\[
\frac{\text{Slices Samantha ate}}{\text{Total slices}} = \frac{2}{8} = \frac{1}{4}
\]
2.
Fraction of the pizza remaining:
- Cameron ate 3 slices, and Samantha ate 2 slices.
- Total slices eaten:
\[
3 + 2 = 5
\]
- Slices remaining:
\[
8 - 5 = 3
\]
- The fraction of the pizza remaining is:
\[
\frac{\text{Slices remaining}}{\text{Total slices}} = \frac{3}{8}
\]
#### Final Answers:
- Fraction Samantha ate: \(\boxed{\frac{1}{4}}\)
- Fraction remaining: \(\boxed{\frac{3}{8}}\)
---
Problem 3:
Jeanne had 24 dollars. She spent \(\frac{1}{4}\) of it. How much money does she have left?
#### Solution:
1. Jeanne started with $24.
2. She spent \(\frac{1}{4}\) of her money:
\[
\frac{1}{4} \times 24 = \frac{24}{4} = 6
\]
3. The amount of money she has left is:
\[
24 - 6 = 18
\]
#### Final Answer:
\[
\boxed{18}
\]
---
Problem 4:
Mrs. Toomer brought 40 cookies to school. Mrs. Toomer's class ate \(\frac{1}{2}\) of the cookies, and Mrs. Smith's class ate \(\frac{1}{4}\) of the cookies. How many cookies are left?
#### Solution:
1. Mrs. Toomer brought 40 cookies.
2. Mrs. Toomer's class ate \(\frac{1}{2}\) of the cookies:
\[
\frac{1}{2} \times 40 = \frac{40}{2} = 20
\]
3. Mrs. Smith's class ate \(\frac{1}{4}\) of the cookies:
\[
\frac{1}{4} \times 40 = \frac{40}{4} = 10
\]
4. Total cookies eaten by both classes:
\[
20 + 10 = 30
\]
5. Cookies remaining:
\[
40 - 30 = 10
\]
#### Final Answer:
\[
\boxed{10}
\]
---
Summary of Answers:
1. \(\boxed{\frac{5}{8}}\)
2. Samantha ate: \(\boxed{\frac{1}{4}}\), Remaining: \(\boxed{\frac{3}{8}}\)
3. \(\boxed{18}\)
4. \(\boxed{10}\)
Parent Tip: Review the logic above to help your child master the concept of fraction word problems 4th grade worksheet.