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   GMAT Number Properties
Section 1: Number Rules
Section 2: Consecutive Numbers
Section 3: Divisibility
Section 4: Fractions
Section 5: Decimals
Section 6: Exponents
Section 7: Roots & Radicals
Section 8: Extra Questions

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   Number Properties Section 4: Fractions
Table of Contents  
 

Note: This is an introductory section for beginners or intermediates with the exception of the final cross multiplication section.

A fraction is one number divided by another number. It is the represents an unsolved division, such as 3/5.

  • The numerator is the top number that represents the number of parts that are selected.
  • The bottom number is the denominator. The denominator represents the number of equal parts into which an entity has been divided.

For example, if a garden is divided into 5 equal plots, 3 of the plots is 3/5 of the garden.

  • A fraction that has 0 as its denominator (e.g., 5/0) is infinitely large and undefined (not a real number or integer).
  • If the numerator is zero, then the fraction equals zero (e.g. 0/5 = 0).
  • If the fraction has a numerator equal to the denominator (e.g., 5/5), the fraction is equal to 1.

Mixed Numbers are numbers that are equal to an integer plus a fraction.

The number 4 2/3 is the integer 4, plus the fraction 2/3. Any mixed number can be written as a fraction, and any fraction greater than 1 can be written as a mixed number.

  • To express 4 2/3 as a fraction:
    1) multiply 4 × 3
    2) add the numerator to this product, 12 + 2 = 14
    3) divide by the denominator: 4 2/3 = 14/3.


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  Contents of Number Properties Chapter:
  Section 1: Number Rules
  Section 2: Consecutive Numbers
  Section 3: Divisibility
  Section 4: Fractions
  Section 5: Decimals
  Section 6: Exponents
  Section 7: Roots & Radicals
  Section 8: Sample Questions
 
Decimals

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