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let's see if we can figure out what two and one-fourth times three is pause this video and see if you can work that out alright now there's different ways that we could approach this one way to approach this is to recognize that if I multiply anything times three that means that I'm taking three of these things and adding them together so this is going to be the same thing as two and one-fourth plus two and one-fourth plus two and one-fourth now I could also view this as each of these two and one fourths is two plus one-fourth plus 2 plus one-fourth plus two plus one-fourth all I did is I broke up that each of the two and one fourths into a two plus one-fourth and then what I could do is I could add the whole number parts two plus two plus two is going to be equal to six and then if I were to take 1/4 plus 1/4 plus 1/4 how many fourths do I now have I have three fourths so it's going to be six plus three fourths or I could write this as 6 and 3/4 now another way that we could have approached this is we could have rewritten 2 and 1/4 I could have rewritten that as the same thing as two is is 8/4 8/4 is the same thing as two plus 1/4 and then I'm multiplying that whole thing times 3 and so this is going to be the same thing as 9 fourths 8/4 plus 1/4 is 9 fourths times 3 and so we could say hey that's just going to be equal to 9 fourths plus 9/4 plus nine fourths which would be equal to what well I have this is going to be nine plus nine plus nine fourths which is going to be equal to 27 fourths now you might be saying hey these look like they are different but you could check this six is equal to how many fourths so 6 is equal to 24 fourths 24 fourths Plus 3/4 which is exactly equal to 27 fourths and we are done