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Current time:0:00Total duration:4:34

Video transcript

so they're telling us that our v is equal to 8/10 and we need to figure out what is our going to be equal to and they help us out with this number line where they've put eight tenths on the number line and that makes sense because to go from zero to one they've split it into one two three four five six seven eight nine ten equal jumps and at this point we have gone eight of those 10 equal jumps between 0 & 1 so that is 8 tenths and they've also labeled 1/5 for us and one way to think about it is if we go if we look at these bold lines 0 1 2 3 4 5 if you just look at the purple we have five equal jumps so each of those jumps are 1/5 and so it makes sense that our first jump right over here gets us to 1/5 and you can see that that is equivalent to two of the tenths I'll just write that up here four so we can see that equivalence 1/5 is equal to 2/10 but how many fifths is equal to eight tenths pause this video and try to figure it out all right well this is 1/5 if we do one more jump of 1/5 that would be 2/5 then if we go another 5th that will get us to 3/5 and then if we go another fifth that will get us to 4/5 which we see is exactly equivalent to eight tenths and that makes sense because we saw also saw that every fifth is equivalent to two tenths so 4/5 is going to be equivalent to eight of those tents we see that very clearly right over here and so R is equal to four 4/5 is equal to 1/10 so R is equal to four let's do another example what fraction is equivalent to point a so pause this video and see if you can figure that out all right so let's figure out where Point a is so to go from 0 to 1 we have 1 2 3 4 5 6 equal jumps so each of these jumps are 1/6 so going from zero one jump will get us to 1/6 then 2/6 then three sixths then four sixths then five sixths and so can we see four sixths in the choices no I do not see four sixths so we have to find an equivalent fraction two four six so we could go choice by choice the first choice has five six well we very clearly see that five six would be here on the number line which is clearly a different place than four sixths so we could rule out this first choice but what about these other ones let's see let's see how we could think about it four fifths versus four sixths could those be equivalent if I have four out of five versus four out of six that's not feeling too good so I'm gonna I'm gonna put like a curly line to it that's not feeling right that if I could have four out of five equal jumps or five equal sections that that would be the same as four out of six equal sections if I divide it into six equal sections each of those sections are going to be a little bit smaller than if I divide it into five equal sections so if I have four of each they're going to be a different value actually when I talk it out like that I feel even more confident that I could rule this one out now what about six fourths well one way to think about is 4/4 would be equal to one so 6/4 is going to be beyond one so it's definitely not going to be where a is so I could rule that one out and we could say oh well maybe it's just going to be D but let's make sure that this makes sense two thirds what does two thirds look like well let me try to divide this this part of the number line from zero to one into thirds into three equal sections so I have zero there and then that could be one-third two-thirds and then three thirds that looks like three equal sections so this is one-third this is two-thirds I'm making another jump of a third and then when I get to one of course that is 3/3 and or we could have said six six and so point a which is right over here I'm writing over it that is indeed equal to two-thirds you can see each jump of a third is equal to two sixths so it makes sense that 4 6 is equal to 2/3 or that 2/3 is equal to 4/6 so I like this one