How to Find the Reciprocal of a Fraction | Math with Mr. J

[Music] welcome to math with mr j [Music] in this video i'm going to cover how to find the reciprocal of a fraction now when we think of a reciprocal we need to think flip and that when we multiply a fraction or any number by its reciprocal we get one let's jump into our examples starting with number one where we have three fourths and we're going to find the reciprocal we do this by flipping the fraction so the denominator of 4 is going to become our numerator and the numerator of 3 is going to become our denominator so we get four thirds that's the reciprocal of three fourths now let's multiply our fraction by that reciprocal to show that we get one when multiplying by a reciprocal so 3 4 our fraction multiplied by the reciprocal of 4 3. so multiply straight across numerators 3 times 4 is 12. denominators 4 times 3 is 12. so same numerator same denominator that equals one so again the reciprocal of three fourths is four thirds let's move on to number two where we have five ninths so again let's flip the fraction to get the reciprocal the denominator the nine is going to become the numerator and the numerator of five is going to become the denominator so we get nine over five fifths for our reciprocal let's multiply our fraction five-ninths by the reciprocal nine-fifths to show that we get 1 when we multiply by that reciprocal so numerators 5 times 9 that's 45 denominators 9 times 5 that's 45 same numerator same denominator that equals one so again the reciprocal of five-ninths is nine-fifths so there you have it there's how you find the reciprocal of a fraction i hope that helped thanks so much for watching until next time peace