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Thought-Process to Discover Knowledge

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nub,

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jogger,

exercise.

User Guide

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User Guide

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User Guide

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User Guide

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This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge.

summary of this topic

### Arithmetics with Fractions

Voice

Voice

Home

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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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?

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 3/4has to be converted to equivalent improper fraction 7/4 before finding the reciprocal 4/7

Progress

Progress

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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