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Arithmetics with Fractions

Arithmetics with Fractions

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Reciprocal of a fraction


 »  Multiplicative inverse
reciprocal means "backwards; in reverse"
    →  reciprocal of `a/b` is `b/a`

Reciprocal of a fraction

plain and simple summary

nub

plain and simple summary

nub

dummy

"Reciprocal" or "multiplicative inverse" of a fraction is the fraction that inverses the number to a product result 1.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, reciprocal of a fraction is introduced.


Keep tapping on the content to continue learning.
Starting on learning "Reciprocal of a fraction". ;; In this page, reciprocal of a fraction is introduced.

What does the word 'reciprocal' mean?

  • reuse; reprocess
  • backwards; in reverse

The answer is 'backwards; in reverse'.

Consider the multiplication `4 xx 3`

 •  `4` is the multiplicand

 •  `3` is the multiplier

 •  `12` is the product

The multiplier has modified the multiplicand.
How to reverse or take backward the multiplication?
The reverse of the multiplier `3` is the reciprocal `1/3`
Because the product `12`, when multiplied by the reciprocal `1/3` gives the multiplicand `4`.

Reciprocal is also called the multiplicative inverse.

Consider the multiplication `2/3 xx 5/8=5/12`

 •  `2/3` is the multiplicand

 •  `5/8` is the multiplier

 •  `5/12` is the product

The reverse of the multiplier `5/8` is the reciprocal `8/5`
Because the product `5/12`, when multiplied by the reciprocal `8/5` gives the multiplicand `2/3`.

Reciprocal is also called the multiplicative inverse.

What is the fraction `2/3` to `3/2` called?

  • Practice Saying the Answer

The answer is 'reciprocal'. It is also called "multiplicative inverse"

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Reciprocal of a Fraction: For a fraction `p/q`, the "Reciprocal" or "multiplicative inverse" is `q/p` as `p/q xx q/p = 1`.



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

What is the reciprocal of `14/18 `?

  • `41/81`
  • `18/14`

The answer is '`18/14`'

What is the reciprocal of `1 3/4 `

  • `1 4/3`
  • `4/7`

The answer is '`4/7`'. The mixed fraction `1 3/4`has to be converted to equivalent improper fraction `7/4` before finding the reciprocal `4/7`

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What does the word 'reciprocal' mean?
reuse;reprocess
reuse; reprocess
backwards;reverse
backwards; in reverse
The answer is 'backwards; in reverse'.
Consider the multiplication 4 times 3 ;; 4 is the multiplicand ;; 3 is the multiplier ;; 12 is the product. ;; the multiplier has modified the multiplicand. How to reverse or take backward the multiplication? ;; The reverse of the multiplier 3 is the reciprocal 1 by 3. Because, the product 12, when multiplied by the reciprocal 1 by 3 gives the multiplicand 4. ;;Reciprocal is also called the multiplicative inverse.
Consider the multiplication 2 by 3, multiplied by, 5 by 8 ;; 2 by 3 is the multiplicand ;; 5 by 8 is the multiplier ;; 5 by 12 is the product. ;; The reverse of the multiplier 5 by 8 is the reciprocal 8 by 5. Because, the product 5 by 12, when multiplied by the reciprocal 8 by 5 gives the multiplicand 2 by 3. ;; Reciprocal is also called the multiplicative inverse.
What is the fraction 2/3 to 3/2 called?
reciprocal;inverse
The answer is 'reciprocal'. It is also called "multiplicative inverse"
reciprocal or multiplicative inverse of a fraction is the fraction that inverses the number to a product result 1.
Reciprocal of a Fraction: For a fraction p by q, the reciprocal or multiplicative inverse is q by p, as p by q multiplied q by p equals 1.
What is the reciprocal of 14 by 18?
41;81
41 by 81
14;18
18 by 14
The answer is "18 by 14"
What is the reciprocal of 1, 3 by 4?
1;3
1, 4 by 3
4;7
4 by 7
The answer is "4 by 7". The mixed fraction 1 3 by 4 has to be converted to equivalent improper fraction 7 by 4 before finding the reciprocal 4/7

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