Reciprocal Of A Fraction

 

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A reciprocal of a fraction is obtained by inverting it upside down.

  • While dividing a whole number by a fraction, we multiply the whole number with the reciprocal of that fraction.

    Example: 2/(4/6)= 2 x (6/4)=6/2 = 3

  • While dividing a fraction by a whole number we multiply the fraction by the reciprocal of the whole number. For example.

    Example: ( 4/3 ) / 7= (4/3) x (1/7) = 4/21

  • While dividing one fraction by another fraction, we multiply the first fraction by the reciprocal of the other.

    Example: (2/3) /(5/8)= (2/3)x (8/5)= 16/15

  • Reciprocal of a Mixed Fraction

    To find the reciprocal of a Mixed Fraction, we must first convert it to an Improper Fraction, and then turn it upside down.

    Example:  Reciprocal of 2 1/3 (two and one-third)?

    1. Convert it to an improper fraction: 2 1/3= 6/3 + 1/3  = 7/ 3

    2. Turn it upside down: 3/7

    The Answer is: 3/7