Class Notes: Finding the Reciprocal of a Fraction

Objective

Learn how to find the reciprocal of a fraction.

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Key Points

• Reciprocal Definition: The reciprocal of a fraction is obtained by flipping the numerator and the denominator.

• How to Find the Reciprocal:

  1. Take the original fraction.
  2. Swap (flip) the numerator with the denominator.

• Examples:

  • Reciprocal of (\frac{4}{7}) is (\frac{7}{4})
  • Reciprocal of (\frac{9}{8}) is (\frac{8}{9})
  • Reciprocal of (\frac{3}{5}) is (\frac{5}{3})
  • Reciprocal of (\frac{4}{9}) is (\frac{9}{4})

• Summary:

  • Simply flip the fraction to get its reciprocal.

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Practice

• Find the reciprocal of:
  • (\frac{2}{3})
  • (\frac{5}{12})
  • (\frac{7}{11})

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Remember: To find the reciprocal, just switch the top and bottom numbers of the fraction!