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Mutually inverse numbers. Reciprocal Fractions

Lecture



Take the fraction 5/8 and “reverse” it, swapping the numerator and denominator.

Get a fraction of 8/5.

The fraction 8/5 is called the 5/8 reverse fraction.

If now the fraction 8/5 is again “flipped”, we will get the original fraction 5/8. Therefore, such fractions as 5/8 and 8/5 are called reciprocal .

To find the reverse number of the mixed number you need:

  • write it in the form of an improper fraction;
  • the resulting fraction "turn".

Example. Find the reverse number of the mixed number:

Mutually inverse numbers.  Reciprocal Fractions
  • We write the mixed number in the form of an improper fraction. Mutually inverse numbers.  Reciprocal Fractions
  • Turn over the resulting fraction. The inverse of the mixed number is an ordinary fraction: Mutually inverse numbers.  Reciprocal Fractions

Reciprocal numbers have an important property.

Mutually inverse numbers.  Reciprocal FractionsMutually inverse numbers.  Reciprocal FractionsMutually inverse numbers.  Reciprocal FractionsMutually inverse numbers.  Reciprocal Fractions

The product of mutually inverse numbers is one.

Mutually inverse numbers.  Reciprocal Fractions

An example of the product of inverse fractions.

Mutually inverse numbers.  Reciprocal Fractions

Based on the property of inverse fractions, we can define mutually inverse numbers.

Mutually inverse numbers.  Reciprocal FractionsMutually inverse numbers.  Reciprocal FractionsMutually inverse numbers.  Reciprocal FractionsMutually inverse numbers.  Reciprocal Fractions

Mutually inverse numbers are two numbers whose product is equal to one.

Mutually inverse numbers.  Reciprocal Fractions
created: 2014-09-22
updated: 2021-07-05
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Arithmetic

Terms: Arithmetic