Let's solve each problem step by step.
---
Problem 1:
Jack gave 3 out of 8 parts of a cake to Mac. What fraction of the cake did Mac get?
-
Given: Jack gave 3 parts out of 8 parts of the cake to Mac.
-
Fraction representation: The fraction is written as the number of parts given divided by the total number of parts.
-
Solution:
\[
\text{Fraction} = \frac{\text{Number of parts given}}{\text{Total number of parts}} = \frac{3}{8}
\]
-
Answer: Mac got \(\boxed{\frac{3}{8}}\) of the cake.
---
Problem 2:
Kenny ate \( \frac{1}{6} \) of a pizza. His brother ate \( \frac{1}{4} \) of the pizza. Who ate a larger pizza?
-
Given: Kenny ate \( \frac{1}{6} \) of the pizza, and his brother ate \( \frac{1}{4} \) of the pizza.
-
Task: Compare the fractions \( \frac{1}{6} \) and \( \frac{1}{4} \) to determine who ate more.
-
Step 1: Find a common denominator for the fractions \( \frac{1}{6} \) and \( \frac{1}{4} \).
- The least common multiple (LCM) of 6 and 4 is 12.
-
Step 2: Convert both fractions to have the common denominator of 12.
\[
\frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12}
\]
\[
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
\]
-
Step 3: Compare the numerators of the fractions \( \frac{2}{12} \) and \( \frac{3}{12} \).
- Since \( 3 > 2 \), \( \frac{3}{12} > \frac{2}{12} \).
-
Conclusion: Kenny's brother ate a larger portion of the pizza.
-
Answer: Kenny's brother ate a larger pizza. \(\boxed{\text{Kenny's brother}}\)
---
Problem 3:
Muna ate 5 out of 8 parts of a chocolate. What fraction of the chocolate did she eat?
-
Given: Muna ate 5 parts out of 8 parts of the chocolate.
-
Fraction representation: The fraction is written as the number of parts eaten divided by the total number of parts.
-
Solution:
\[
\text{Fraction} = \frac{\text{Number of parts eaten}}{\text{Total number of parts}} = \frac{5}{8}
\]
-
Answer: Muna ate \(\boxed{\frac{5}{8}}\) of the chocolate.
---
Final Answers:
1. \(\boxed{\frac{3}{8}}\)
2. \(\boxed{\text{Kenny's brother}}\)
3. \(\boxed{\frac{5}{8}}\)
Parent Tip: Review the logic above to help your child master the concept of worksheet on fractions for grade 2.
