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 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:
- $\frac{1}{6}$ (Kenny)
- $\frac{1}{4}$ (Brother)
To compare fractions, we can 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, $\frac{1}{4} > \frac{1}{6}$
✔ Answer: Kenny’s brother ate a larger portion.
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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 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 ate more.
3. $\frac{5}{8}$
These problems reinforce understanding of fractions as parts of a whole and comparing fractions.
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet grade 2.