What is the reciprocal of 8/19?
What is the reciprocal of 1 1/4?
What is the reciprocal of 1/13?
In order to find the reciprocal of the first fraction, we should flop it over:
\(\sf{\displaystyle\frac{19}{8}}\)
\(\uparrow\sf{reciprocal~of~\frac{8}{19}}\)
The second fraction will require more work, because we need to convert it into an improper fraction first.
Trust me, it's easy :)
This is our fraction:-
\(\sf{2\displaystyle\frac{1}{4}}\)
Now, multiply 2 times 4 and add 1. This is the numerator of our improper fraction:-
\(\sf{\displaystyle\frac{9}{4}}\)
Now, just flop it over, like the first fraction:-
\(\sf{\displaystyle\frac{4}{9}}\)
\(\uparrow\sf{reciprocal}\)
In order to find the reciprocal of the third fraction, we should just flop it over:-
\(\sf{\displaystyle\frac{13}{1}}\)
\(\boxed{\pmb{13}}\)
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)