Respuesta :

the reciprocal of a/b is equal to b/a.
Therefore, for the reciprocal of 20 would have to be written as 20/1, giving an answer of 1/20.
The reciprocal of 4/5 is just flipping the fraction, giving you 5/4, or 1 1/4.


Hope this helps!

Hello there!

In order to find the reciprocal of a number, we should flop it over, like so:-

[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]

According to the formula, the reciprocal of 20 is equal to:-

[tex]\boxed{\frac{1}{20}}[/tex]

Now, how about the reciprocal of [tex]\displaystyle\frac{4}{5}[/tex]?

You may think, "Well, we flop the number over..."

Yes. When we flop fractions over, the numerator & denominator switch places. :)

Hence, the reciprocal is:-

[tex]\displaystyle\frac{5}{4}[/tex]

So 4 used to be the numerator (now 5 is the numerator, and 5 used to be the denominator) and 4 is the denominator.

[tex]\mathcal{NOTE:-}[/tex]

I hope everything is clear; however, if you need any explanation or clarification, don't hesitate to let me know, and I will comment and/or edit my answer. Good luck and have a great rest of your day!