Respuesta :
hello!
In order to find the reciprocal of the first fraction, we should flop it over:
[tex]\sf{\displaystyle\frac{19}{8}}[/tex]
[tex]\uparrow\sf{reciprocal~of~\frac{8}{19}}[/tex]
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:-
[tex]\sf{2\displaystyle\frac{1}{4}}[/tex]
Now, multiply 2 times 4 and add 1. This is the numerator of our improper fraction:-
[tex]\sf{\displaystyle\frac{9}{4}}[/tex]
Now, just flop it over, like the first fraction:-
[tex]\sf{\displaystyle\frac{4}{9}}[/tex]
[tex]\uparrow\sf{reciprocal}[/tex]
In order to find the reciprocal of the third fraction, we should just flop it over:-
[tex]\sf{\displaystyle\frac{13}{1}}[/tex]
[tex]\boxed{\pmb{13}}[/tex]
note:-
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
