Question

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Answer 1

The reciprocal of each mixed number.

`6(3)/(4)` ⇔
`(4)/(27)`

`2(1)/(4)` ⇔
`(4)/(9)`

`1(3)/(4)` ⇔
`(4)/(7)`

Explanation:

Given:

Three mixed number are given:

`6(3)/(4)`,
`2(1)/(4)` and
`1(3)/(4)`

Find reciprocal of each mixed number.

Solution:

The reciprocal of the number is 1 divided by number.

`6(3)/(4)=(4* 6 +3)/(4)=(24+3)/(4)=(27)/(4)`

So, the reciprocal of the
`(27)/(4)\ is\ (4)/(27)`

`2(1)/(4)=(4* 2 +1)/(4)=(8+1)/(4)=(9)/(4)`

So, the reciprocal of the
`(9)/(4)\ is\ (4)/(9)`

`1(3)/(4)=(4* 1 +3)/(4)=(4+3)/(4)=(7)/(4)`

So, the reciprocal of the
`(7)/(4)\ is\ (4)/(7)`