Verified Answer :

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 

Louli

Answer:

The reciprocal is \(\frac{7}{24}\)


Explanation:

Before we begin remember that:

\(a\frac{b}{c} = \frac{(a*c) + b}{b}\)


Now, for the given:

We have the number \(3\frac{3}{7}\)


1- Changing it into a fraction:

Using the above rule, we can deduce that:

\(3\frac{3}{7}\) = \(\frac{(3*7) + 3}{7}\) = \(\frac{24}{7}\)


2- Getting the reciprocal:

To get the reciprocal, we simply flip the fraction

This means that the reciprocal of \(\frac{24}{7}\) is \(\frac{7}{24}\)


Hope this helps :)