How to Reciprocate Fractions

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Reciprocating fractions means that you're flipping the numerator and the denominator. Find out how to reciprocate fractions with help from a longtime mathematics educator in this free video clip.

Part of the Video Series: Number Theory Education
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Video Transcript

Hi, I'm Jimmy Chang, and we're here to talk about how to reciprocate fractions. Now, when you reciprocate fractions, you want to find the reciprocal of the fraction. And so, when you do that, what you're really doing is you're flipping the numerator and denominator. So, for example, if you have let's just say, six over seven, when you reciprocal and reciprocate the fraction, you're just flipping it so the seven and the six switch places so it becomes seven over six. Now, same thing if you have negative fractions. If you have, let's just say, negative thirteen-nineteenths, what you can do is you keep the negative as is, and you're just flipping the numerator and denominator. So, that ends up being negative nineteen over thirteen. Now, if you have, let's just say, one-fifth, you want to reciprocate that, same kind of idea. You want to be consistent as to what you do. In this case, you have five over one. So, that doesn't have to be written as a fraction, if you don't want it to be. So, the reciprocal of one-fifth is five. So, when you reciprocate fractions, it's going to be a pretty straight-forward process. So, I'm Jimmy Chang, and that's how to reciprocate fractions.


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