Let’s solve each problem one by one, step by step.
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Problem 1:
Jack gave 3 out of 8 parts of a cake to Mac. What fraction of the cake did Mac get?
- The whole cake is divided into 8 equal parts.
- Jack gave away 3 of those parts.
- So, Mac got 3 parts out of 8 total parts.
- That means the fraction is
3/8.
✔ Check: 3 out of 8 → numerator = 3, denominator = 8 → 3/8. Correct.
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Problem 2:
Kenny ate 1/6 of a pizza. His brother ate 1/4 of the pizza. Who ate a larger pizza?
Wait — this question says “Who ate a larger pizza?” but they’re eating from the *same* pizza (or same-sized pizzas). It probably means: “Who ate a larger *portion* of the pizza?”
We need to compare 1/6 and 1/4.
To compare fractions with different denominators, we can find a common denominator or think about what they mean:
- 1/6 means 1 part out of 6 equal parts → smaller pieces.
- 1/4 means 1 part out of 4 equal parts → bigger pieces.
So, 1/4 is bigger than 1/6.
You can also convert them to have the same denominator:
LCM of 6 and 4 is 12.
→ 1/6 = 2/12
→ 1/4 = 3/12
Since 3/12 > 2/12, then 1/4 > 1/6.
So, Kenny’s brother ate more.
✔ Check: 1/4 is indeed larger than 1/6. Brother ate more.
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Problem 3:
Muna ate 5 out of 8 parts of a chocolate. What fraction of the chocolate did she eat?
- Whole chocolate = 8 parts.
- She ate 5 parts.
- Fraction = 5 out of 8 →
5/8
✔ Check: 5 parts eaten from 8 total → 5/8. Correct.
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Final Answer:
1. 3/8
2. Kenny's brother
3. 5/8
Parent Tip: Review the logic above to help your child master the concept of fraction problems worksheet.