Question

What is the reciprocal of 3 3/7

Answer 1

The reciprocal is
`(7)/(24)`

Step-by-step explanation:

Before we begin remember that:

`a(b)/(c) = ((a*c) + b)/(b)`

Now, for the given:

We have the number
`3(3)/(7)`

1- Changing it into a fraction:

Using the above rule, we can deduce that:

`3(3)/(7)` =
`((3*7) + 3)/(7)` =
`(24)/(7)`

2- Getting the reciprocal:

To get the reciprocal, we simply flip the fraction

This means that the reciprocal of
`(24)/(7)` is
`(7)/(24)`

Hope this helps :)

Answer 2

You can make 3 and 3/7 into a improper fraction as 24/7 by multiplying 7 by 3 which is 21 and then adding that to 3 which gives you to answer 24/7. To find the reciprocal you simply flip the fraction which gives you 7/24