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What's the reciprocal of 20 and 4/5?

2 Answers

5 votes
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!
User Johannes Gehrs
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Hello there!

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


\sf{The~reciprocal~of~a~is~\displaystyle(1)/(a)}

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


\boxed{(1)/(20)}

Now, how about the reciprocal of
\displaystyle(4)/(5)?

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

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

Hence, the reciprocal is:-


\displaystyle(5)/(4)

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


\mathcal{NOTE:-}

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!

User Doug Allrich
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7.9k points