## Subtitles section Play video

• - [Instructor] We're told that Katie 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 in math, she spent 3/4 of an hour,

• reading, 7/8 of an hour,

• writing, 3/6 of an hour,

• and then science, 5/10 of an hour.

• And then they ask us on which activities

• did Katie spend more than 2/3 of an hour?

• So pause this video and see if you can figure that out.

• All right, so we essentially have to figure out

• which of these fractions are greater than 2/3 of an hour?

• Which are greater than 2/3?

• And this is all in terms of hours.

• So first let's just think about representing 2/3,

• 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 whole right over here,

• I could split it into three equal sections,

• so I'm gonna 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 2/3 would be two of them,

• so I'll pick these first two.

• Well, it 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 once again,

• let's make this a whole.

• And now if I want to think in terms of fourths,

• I have to divide it into four equal sections,

• so let's see.

• If I divide it, that will be two equal sections,

• and then I can 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 a fourth,

• that would be a fourth, and that would be a fourth,

• and that would be a fourth.

• 4/4 make a whole,

• 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 'cause it's hand drawn,

• but you can see that 3/4 is more of a whole than 2/3.

• It's greater than 2/3.

• So Katie spent more than 2/3 of an hour on math

• because 3/4 is greater than 2/3,

• so I like this one right over there.

• I'll just put a square or circle around the ones

• that she spent that extra time on

• or the more, the greater than 2/3 of an hour on.

• So to compare that, I will, once again,

• make a whole here,

• and then I want to think about 7/8,

• so I'm gonna split into eight equal sections.

• So let's see, that will split into two equal sections,

• and then, then I can go to four equal sections,

• and then if I split each of those into two,

• this would be eight equal sections,

• so it may look 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 7/8.

• 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.

• 3/6, what would that look like?

• Well, I'll do another one right over here.

• So if that is a whole,

• well, actually let me split it 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,

• 'cause 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 3/6 is less than 2/3

• so I'm not gonna circle that one.

• She didn't spend more than 2/3 of an hour on writing,

• and then last, but not least, science.

• 5/10.

• Well once again,

• we could make a whole here,

• and let's see.

• I want to do into 10 equal sections,

• so that's two equal sections,

• and each of these, I can do into five equal sections.

• Let's see.

• One, two, three,

• four, five, I can do 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,

• but I think this will get us

• to where we need to get to.

• So these are each 1/10.

• 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 tenths.

• And notice, 5/10 is the exact same thing as 3/6,

• and like 3/6, it is less than 2/3.

• So which activities did Katie spend more than 2/3

• of an hour on?

- [Instructor] We're told that Katie made a table

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A2 equal hour greater katie spent fourth

# Comparing fractions word problems

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林宜悉 posted on 2020/03/27
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