In this page, reciprocal of a fraction is introduced.

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What does the word 'reciprocal' mean?

- reuse; reprocess
- 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?

- Pronunciation : Say the answer once

Spelling: Write the answer once

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/q`, the "Reciprocal" or "multiplicative inverse" is `q/p` as `p/q xx q/p = 1`.

*Solved Exercise Problem: *

What is the reciprocal of `14/18 `?

- `41/81`
- `18/14`

The answer is '`18/14`'

*Solved Exercise Problem: *

What is the reciprocal of `1 3/4 `

- `1 4/3`
- `4/7`
- `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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