Let's solve each of the fraction word problems step by step.
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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?
Step 1: Find how many hamburgers were eaten.
Total hamburgers = 8
Hamburgers left = 3
Hamburgers eaten = 8 - 3 =
5
Step 2: Write the fraction of hamburgers eaten.
Fraction eaten = (Number eaten) / (Total) = 5/8
✔ Answer: 5/8 of the hamburgers were eaten.
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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?
Part A: Fraction Samantha ate
Samantha ate 2 slices out of 8.
So, fraction = 2/8 =
1/4 (simplified)
Part B: Fraction that remains
Total eaten = Cameron + Samantha = 3 + 2 = 5 slices
Remaining slices = 8 - 5 = 3
Fraction remaining = 3/8
✔ Answers:
- Samantha ate
1/4 of the pizza.
-
3/8 of the pizza remains.
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Problem 3:
Jeanne had 24 dollars. She spent ¼ of it. How much money does she have left?
Step 1: Find how much she spent.
1/4 of $24 = (1/4) × 24 = 6
Step 2: Subtract from total to find what's left.
$24 - $6 =
$18
✔ Answer: Jeanne has
$18 left.
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Problem 4:
Mrs. Toomer brought 40 cookies to school. Mrs. Toomer’s class ate ½ of the cookies and Mrs. Smith’s class ate ¼ of the cookies. How many cookies are left?
Step 1: Find how many cookies each class ate.
- Mrs. Toomer’s class: ½ of 40 = (1/2) × 40 =
20 cookies
- Mrs. Smith’s class: ¼ of 40 = (1/4) × 40 =
10 cookies
Step 2: Total eaten = 20 + 10 =
30 cookies
Step 3: Cookies left = 40 - 30 =
10
✔ Answer: 10 cookies are left.
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✔ Final Answers:
1.
5/8
2. Samantha ate
1/4,
3/8 remains
3.
$18
4.
10 cookies
Let me know if you'd like these explained visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of word problems 6th grade worksheet.