Comparing Fractions

Comparing Fractions

Last Updated: Sep 5, 2019

Some Basic Information about Fractions:

  • Fraction = Number of Parts/ Total Parts
  • Every fraction has a numerator that equals the number of parts we have and a denominator equaling the total number of parts in a whole
  • Any Number Can Be Written As a Fraction
  • Write any whole number over 1 to make it a fraction since the total number of parts in any undivided whole is one
  • Multiplying fractions is easy, just multiply straight across

Rules for Comparing Fractions

  1. Relation: Like Denominators

    How To Compare: Look at the numerators. The larger fraction is the one with the greater numerator.

    Example: 3/5 > 1/5

  2. Relation: Unlike Denominators

    How To Compare: Convert each fraction to an equivalent fraction with a common denominator. The larger fraction is the one with the greater numerator.

    ​Example: 5/8 < 7/10  since 25/40 < 28/40

  3. Relationship: Like Numerators

    How To Compare: Look at the denominators. The fraction with the smaller denominator is the larger fraction.

    ​Example: 2/7  > 2/9

This video lays out the basics of comparing fractions. Understanding this topic well is necessary to solve questions that are asked in various competitive exams in the Quant and DI sections - applicable to CAT, XAT, MAT, SNAP, IIFT, CLAT, AILET, DU LLB, any other entrance exam as well.
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