Let's solve each problem one by one and explain the solutions step by step.
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Problem I:
A book has 8 chapters of equal length. Mary has read 4 chapters. What fraction of the book does Mary have left to read?
Solution:
- Total chapters = 8
- Chapters read = 4
- Chapters left = 8 - 4 = 4
So, the fraction of the book left to read is:
$$
\frac{4}{8} = \frac{1}{2}
$$
✔ Answer: $ \frac{1}{2} $
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Problem J:
Jack needs to walk $ \frac{7}{10} $ kilometer to school. He has already walked $ \frac{3}{10} $ kilometer. How much farther does Jack need to walk?
Solution:
We subtract the distance already walked from the total distance:
$$
\frac{7}{10} - \frac{3}{10} = \frac{4}{10} = \frac{2}{5}
$$
✔ Answer: $ \frac{2}{5} $ kilometer
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Problem K:
Sarah had $ \frac{6}{8} $ of a packet of cookies. After she ate some cookies, $ \frac{2}{8} $ of a packet remained. What fraction of the packet of cookies did Sarah eat?
Solution:
She started with $ \frac{6}{8} $ and had $ \frac{2}{8} $ left.
So, the amount eaten is:
$$
\frac{6}{8} - \frac{2}{8} = \frac{4}{8} = \frac{1}{2}
$$
✔ Answer: $ \frac{1}{2} $
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Problem L:
Dad cut an apple pie into 8 slices. He served 4 slices to his children and 2 slices to his wife. What fractional part of the apple pie did dad serve?
Solution:
Total slices served = 4 (children) + 2 (wife) = 6 slices
Total slices in pie = 8
Fraction served:
$$
\frac{6}{8} = \frac{3}{4}
$$
✔ Answer: $ \frac{3}{4} $
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✔ Final Answers:
-
I: $ \frac{1}{2} $
-
J: $ \frac{2}{5} $
-
K: $ \frac{1}{2} $
-
L: $ \frac{3}{4} $
Let me know if you'd like these explained visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of fraction word problems 4th grade worksheet.