What fraction of the 434-page book has been read if 396 pages have been read?

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

What fraction of the 434-page book has been read if 396 pages have been read?

Explanation:
Think of the fraction read as pages read over total pages: 396 out of 434. Both numbers are even, so divide by 2 to simplify: 396/434 becomes 198/217. Check for any other common factors; 217 is 7×31 and 198 is not divisible by 7 or 31, so no further reduction is possible. The fraction 198/217 accurately represents the part of the book already read, which is why the correct choice has 198/217.

Think of the fraction read as pages read over total pages: 396 out of 434. Both numbers are even, so divide by 2 to simplify: 396/434 becomes 198/217. Check for any other common factors; 217 is 7×31 and 198 is not divisible by 7 or 31, so no further reduction is possible. The fraction 198/217 accurately represents the part of the book already read, which is why the correct choice has 198/217.

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