Your friend wrote the reciprocal of 5 3/8 as 5 8/3. explain why your friend is incorrect. what is the correct reciprocal?

PLEASE HELP/ANSWER ASAP!!!!!!!!

4 answers

5 3/8 as an improper fraction is 43/8, so the correct reciprocal is 8/43
Your can not wrote the reciprocal of 5 3/8 as 5 8/3 because

reciprocal of 5 3/8 is:

1 / (5 3/8 )

The correct reciprocal is:

1 / (5 3/8 ) = 1 / ( 5 + 3 / 8 ) = 1 / ( 40 / 8 + 3 / 8 ) = 1 / ( 43 / 8 ) = 8 / 43

The reciprocal of 5 3/8 is 8 / 43
The reciprocal of 3 8/5 is 3 5/8
Explain why Alexa is incorrect and write the correct reciprocal
reciprocal of 5 3/8 is:

1 / (5 3/8 )

The correct reciprocal is:

1 / (5 3/8 ) = 1 / ( 5 + 3 / 8 ) = 1 / ( 40 / 8 + 3 / 8 ) = 1 / ( 43 / 8 ) = 8 / 43

The reciprocal of 5 3/8 is 8 / 43