Question

What is the reciprocal of 3 ⅞

Answer 1

`(8)/(31)`

Explanation:

the reciprocal of a number n is
`(1)/(n)`

given

3
`(7)/(8)` ← express as an improper fraction

=
`(31)/(8)` , then

reciprocal =
`(1)/((31)/(8) )` =
`(8)/(31)`

Answer 2

`\displaystyle (8)/(31)`

Explanation:

First, we will turn 3 ⅞ into an improper fraction.

`\displaystyle (3*(8)/(8) )+((7)/(8) )=(24)/(8) +(7)/(8) = (31)/(8)`

Next, we will find the reciprocal. This means we flip the numerator and the denominator.

`\displaystyle (31)/(8) \rightarrow (8)/(31)`