Let's solve each problem 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?
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Given: Jack gave 3 parts out of 8 parts of the cake to Mac.
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Fraction representation: The fraction of the cake that Mac received is simply the number of parts he got divided by the total number of parts.
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Solution:
\[
\text{Fraction of the cake Mac got} = \frac{3}{8}
\]
Answer: \(\boxed{\frac{3}{8}}\)
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Problem 2:
Kenny ate \( \frac{1}{6} \) of a pizza. His brother ate \( \frac{1}{4} \) of the pizza. Who ate a larger pizza?
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Given: Kenny ate \( \frac{1}{6} \) of the pizza, and his brother ate \( \frac{1}{4} \) of the pizza.
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Comparison: To determine who ate more, we need to compare the fractions \( \frac{1}{6} \) and \( \frac{1}{4} \).
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Step 1: Find a common denominator for the fractions. The least common denominator (LCD) of 6 and 4 is 12.
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Step 2: Convert both fractions to have the denominator of 12:
\[
\frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12}
\]
\[
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
\]
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Step 3: Compare the numerators:
\[
\frac{2}{12} < \frac{3}{12}
\]
This means \( \frac{1}{6} < \frac{1}{4} \).
Conclusion: Kenny's brother ate a larger portion of the pizza.
Answer: \(\boxed{\text{Kenny's brother}}\)
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Problem 3:
Muna ate 5 out of 8 parts of a chocolate. What fraction of the chocolate did she eat?
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Given: Muna ate 5 parts out of 8 parts of the chocolate.
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Fraction representation: The fraction of the chocolate that Muna ate is simply the number of parts she ate divided by the total number of parts.
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Solution:
\[
\text{Fraction of the chocolate Muna ate} = \frac{5}{8}
\]
Answer: \(\boxed{\frac{5}{8}}\)
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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 fraction worksheet word problems.
