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Current time:0:00Total duration:2:59

Video transcript

I want to make a quick clarification based on the last video in the last video we compared fractions for example we cared compared four sevens two three sevens and we saw clearly four sevens is a larger fraction of the whole then three sevens was but you might say hey but what if what if my hole was bigger what if I took 3/7 of this big thing here then three sevens would look like this so it would be one one two three sevens and so this three sevens this looks like I have filled in more then I would have over here for the three for the four seven so it doesn't it matter which hole you're taking the fraction of and the answer is yes it does matter and you when you compare fractions you assume that you're taking fractions of the same hole so you can only make this comparison right over here so it has to be let me make this very clear it has to be the same it has to be the same the same hole that you're making the comparison you can't compare 4/7 of a mouse to 3/7 of an elephant those are two different things you cannot make that comparison you could compare four sevens of a mouse to three sevens of that same mouse or Mouse the same size then you can make the same comparison when we talk about fractions as just pure numbers then where then we automatically go to the number line the hole that we talk about when we're on the number line is the section of our number line between 0 & 1 so that makes it so this is zero and then this is one here when we talk about fractions is just pure numbers we're not saying 4/7 of a mouse or 4/7 of an elephant we're just talking about a number on the number line and so we would split this into seven so let me see if I could do that let me draw so that's 1/7 2/7 3/7 4 5 6 and that's 7/7 right over there or 1 so this is 7 7 or 1 and this right over here is 1/7 2/7 3/7 4/7 five sevens whoops five sevenths and six sevens and so when you look at the number line here it's clear that three sevens which is three jumps from zero three jumps of a seventh each one two three three sevens puts you right there while four sevens is a larger numbers to the right of three 7s you have to make four jumps one two three four four jumps of a seventh to get right over there so you can make this comparison as long as you're doing it you're looking at the fraction of the same hole here the same hole is the region of our number line between 0 and 1 in the previous video the same hole was this yellow bar you can't compare 4/7 of this yellow bar to 3/7 of this much larger blue bar