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Video transcript

we are told select the two fractions that are greater than one so pause this video and see if you can figure out which two of these fractions are greater than one all right now let's work on this together and so the main realization here the main thing to pay attention to is how the numerator relates to the denominator when we are at one they're equal to each other for example one is equal to one whole I guess you could write it that way one once or you could also write it as two halves is also equal to three thirds it's also equal to 4 fourths we could go on and on if you wanted in terms of six one would be equal to six sixths and so if whatever we have up here is larger than the denominator so if we have seven sixths or if we were to have maybe five fourths notice the numerator is larger than denominator these are all situations when we are greater than one and all the situations where the numerator is less than the denominator so example one half or nine eleven or ten eleven these are all situations where we are less than one all this is less than one so let's look over here four is less than six four six is less than six six remember one is the same thing as six six so this is not greater than one so I would not select that nine fourths well that's definitely larger than four fourths that is greater than one and once again our numerator is larger than our denominator so we know that we are greater than one so I will select that one and then we see again five halves two halves is equal to one so five halves is definitely greater than one so I like that one as well and notice five is greater than 2 and then we already know we picked our two choices but we can look at the other ones seven is less than eight so seven eight is less than eight eight so this is less than one and three thirds we've already talked about it that's equal to one so I like those two choices let's do another example that that tackles it a little bit of a different way it says what which fraction could represent point a on the number line in point a is here they don't tell us a lot about point a but all they do tell us by looking at the number line is that point a is less than one so which of these another way to think about it is less than one all right in order for it to be less than 1 the numerator has to be less than the denominator here our numerator is greater than the denominator 7/4 is definitely larger than 4/4 remember 4/4 is equal to 1 this is right over here I could rewrite as 4/4 and so 7/4 is going to be someplace 7/4 is going to be someplace over there so this is definitely not our choice two halves well once again that's the same thing as one that's right over there so that's not our choice what about five eighths well five eighths the numerator is less than the denominator eight eighths is equal to one so that's that point again so five eighths would be to the left of that so that could be point a so I like that choice