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Fraction Properties - I

The content provides an in-depth exploration of basic fraction properties, crucial for solving GRE math problems, including writing integers as fractions, handling fractions involving zero, understanding fractions of the form n/n, and the concept of reciprocals.
  • Fractions with a denominator of 1 simplify to the integer itself, enabling any integer to be written as a fraction, which is useful in various problem-solving scenarios.
  • It is mathematically illegal to have a fraction with zero in the denominator, but zero can be in the numerator, where it always equals zero.
  • For fractions of the form n/n, as long as n is not zero, the fraction equals 1, a principle that is fundamental when finding common denominators.
  • The reciprocal of a fraction is its flipped version, and the product of a fraction and its reciprocal always equals 1, a key concept in solving problems involving fractions.
  • Understanding the relationship between a number and its reciprocal, especially in terms of their sizes, is essential for grasping the fundamentals of number sense.
Writing Integers as Fractions
Fractions Involving Zero
The Principle of n/n
Understanding Reciprocals