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# Comparing fractions word problems

CCSS.Math:

## Video transcript

we're told that Katy made a table to show how much time she spent on homework last week and so we can see the different subjects and then how much she spent in terms of hours so on maths you spent 3/4 of an hour reading 7/8 of an hour writing three sixths of an hour and then signs five tenths of an hour and then they asked us on which activities did Katie spend more than two-thirds of an hour so pause this video and see if you can figure that out alright so we essentially have to figure out which of these fractions are greater than two thirds of an hour or which are greater than two thirds and this is all in terms of hours so first let's just think about representing two thirds so let me do it like this and I'm going to hand draw it so it's not going to be perfect but if this is a hole right over here I could split it into three equal sections so I'm going to try to do that let me see does that look about right so three equal sections so that would be 1/3 that would be 1/3 and then that would be 1/3 and then two thirds would be two of them so I'll pick these first two what doesn't have to be those first two so that's 1/3 and then 2/3 so let's see if we can draw a similar visual for each of these so what about 3/4 so once again let's make this a whole and now if I'm going to think in terms of fourths have to divide it into four equal sections so let's see if I divide it that'll be two equal sections and then I could divide each of those into two equal sections so let's see maybe something like this and then like this so it's hand-drawn but these are four equal sections and so this would be 1/4 that would be 1/4 and that would be 1/4 and that would be 1/4 4/4 make a hole so three of those fourths would be one two and then three and so you can see and I've drawn it pretty close it's not perfect because it's hand-drawn but you can see that 3/4 is more of a hole than 2/3 it's greater than 2/3 so Katie spent more than 2/3 of an hour on math but 3/4 is greater than 2/3 so I like this one right over there I'll just put a square circle around the ones that she spend that extra time on or the more that greater than two-thirds of an hour on now let's think about reading 7/8 so to compare that I will once again make a hole here and then I want to think about 7/8 so I'm going to split into 8 equal sections so let's see that will split into two equal sections and then then I can go to 4 equal sections and then if I split each of those into 2 this would be 8 equal sections so it looks something like this not perfect but I think it will get the job done so each of these are 1/8 so 7/8 are going to be one two three four five six and seven-eighths clearly once again greater than our 2/3 that we have in purple so she spent more than 2/3 of an hour on reading now what about writing three sixths what would that look like well I'll do another one right over here so that is a whole actually let me split to thirds first since we already have a bit of a reference there we can look up there and we can see those are thirds and if we split each of those into two we're going to have sixths because we'll have six equal sections so it would look something like that and then three of those six well that's one two and three so we can see that three six is less than 2/3 so I'm not going to circle that one she didn't spend more than two thirds of an hour on writing and then last but not least science five tenths well once again we can make a hole here and let's see I want to do into 10 equal sections so that's two equal sections then each of these I can do into five equal sections to see one two three four five I get a little bit neater than that three four and five and then one two three four and five I can make it a little bit neater I think this will get us to where we need to get to so these are each a tenth I could write 1/10 1/10 I could do that for all 10 of these but we care about five of these tenths so one two three four five of those tents and notice five tenths is the exact same thing as three six and like three six it is less than two thirds so which activities that Katy spend more than two thirds of an hour on clearly math and reading