Reciprocals of Fractions | Multiplying and Dividing Fractions, Multiplicative Inverses скачать в хорошем качестве

Reciprocals of Fractions | Multiplying and Dividing Fractions, Multiplicative Inverses

What is the reciprocal of a fraction and why is it important? The reciprocal of a fraction a/b is the number we must multiply a/b by in order to get 1. The reciprocal can be found by "flipping the fraction around", simply swapping the numerator and denominator. Thus, the reciprocal of a/b is b/a. Multiplying these fractions together gives us 1, that is (a/b)*(b/a) = 1. We need to be careful, however, because if our fraction has a 0 in the numerator, it does not have a reciprocal. If our fraction has a 0 in the numerator, then it is equal to 0. What can we multiply 0 by in order to get 1? There is no such number, and so there is also no reciprocal. If our fraction had a 0 in the denominator to begin with, then it was undefined to begin with, so we should steer clear of it! If we were to try to find the reciprocal for a fraction of the form 0/b, we might try to flip it around, giving b/0, which is an undefined expression: we cannot have 0 in the denominator of a fraction. Reciprocals are also handy because if we divide two fractions, say a/b divided by c/d, this is equal to a/b times the reciprocal of c/d, which is a/b times d/c. By hand, multiplying is usually easier than dividing. I hope you find this video helpful, and be sure to ask any questions down in the comments! ******************************************************************** The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work. Vallow Bandcamp: https://vallow.bandcamp.com/ Vallow Spotify: https://open.spotify.com/artist/0fRtu... Vallow SoundCloud:   / benwatts-3   ******************************************************************** +WRATH OF MATH+ ◆ Support Wrath of Math on Patreon:   / wrathofmathlessons   Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu   My Music Channel:    / seanemusic