Let's solve each of the fraction word problems step by step and explain the solutions clearly.
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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?
Solution:
- The cake is divided into 8 equal parts.
- Jack gave 3 of those parts to Mac.
- So, the fraction of the cake Mac received is:
$$
\frac{3}{8}
$$
✔ Answer: Mac got
$\frac{3}{8}$ of the cake.
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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 portion?
Solution:
We need to compare $\frac{1}{6}$ and $\frac{1}{4}$.
To compare fractions, find a common denominator or convert them to decimals.
#### Method 1: Common Denominator
- The least common denominator (LCD) of 6 and 4 is 12.
- Convert both fractions:
- $\frac{1}{6} = \frac{2}{12}$
- $\frac{1}{4} = \frac{3}{12}$
- Now compare: $\frac{2}{12} < \frac{3}{12}$
So, $\frac{1}{4} > \frac{1}{6}$
#### Method 2: Decimal Conversion
- $\frac{1}{6} \approx 0.1667$
- $\frac{1}{4} = 0.25$
Since $0.25 > 0.1667$, $\frac{1}{4}$ is larger.
✔ Answer: Kenny’s
brother ate a larger portion of the pizza.
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Problem 3:
Muna ate 5 out of 8 parts of a chocolate. What fraction of the chocolate did she eat?
Solution:
- The chocolate is divided into 8 equal parts.
- Muna ate 5 of those parts.
- So, the fraction she ate is:
$$
\frac{5}{8}
$$
✔ Answer: Muna ate
$\frac{5}{8}$ of the chocolate.
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✔ Final Answers:
1. $\frac{3}{8}$
2. Kenny’s brother
3. $\frac{5}{8}$
These are simple fraction problems involving understanding parts of a whole and comparing fractions. Let me know if you'd like visual representations or further explanations!
Parent Tip: Review the logic above to help your child master the concept of fractions worksheet for 2nd grade.