Representing 1 as a fraction
Let's explore various ways to represent the number 1 as a fraction, like 1/1, 2/2, and 3/3. We see how dividing a whole into equal parts and shading them in can represent 1 whole. We also use a number line to visualize these fractions, emphasizing that they all represent the same value: 1 whole. Created by Sal Khan.
Want to join the conversation?
- would 1/1 be considered a fraction?(21 votes)
- Absolutely! 1/1 is a fraction, with 1's in both the numerator and the denominator.(28 votes)
- Can yo divide a rhombus into 5 equal parts?(10 votes)
- A rhombus is pretty much a tilted square, or a diamond rotated onto it's side.(8 votes)
- i wunder why we have to do thes evre day(11 votes)
- You need to complete the practice/course in order for it to say mastered/completed!(7 votes)
- hi, why is a decimal considered a fraction?(5 votes)
- Because a decimal is part of a whole number like a fraction.(14 votes)
- Is it the same guy for each video? And sometimes the anser does not make sense.(8 votes)
- If the answer dosent make sense please watch a video or report the problem! I consider checking with a adult before reporting the problem!(6 votes)
- can one of you help me?(4 votes)
Representing 1 as a fraction can be done in many different ways, which is why it can seem hard.
Say you have 1 pie. You cut it into 8 equal slices. So half the pie would be 4 slices (4/8, or 1/2). But what about all 8 of the slices? The fraction of that would be written as 8/8. And that's just the whole pie. It's equal to 1. So 8/8 is the same as 1, you follow?
It works like that. Say you have a cake (following along the dessert theme here.) You cut it into 16 slices. 4 slices is a quarter of the cake, 8 slices is half of it (4/16 can be reduced to 1/4 by dividing, and 8/16 can be reduced to 1/2.) What about all 16 slices of it? Well, that's 16/16. And of course it's the whole cake, which is equal to 1.
You can do this with any fraction, no matter how big it is. 45/45, 90/90, 180/180, they're all equal to 1.(14 votes)
- is 0/0 a fraction or no(5 votes)
- No, as a matter of fact, it is considered a whole number. 0 is impossible to be present in a numerator or denominator.(1 vote)
- Is there any other way to represent fractions(4 votes)
- U could say like… idk ok. Let’s say it is 4/8. U could say 4 eights or four eights.(3 votes)
- Hello everyone how is your day(3 votes)
- good and yours.(3 votes)
So let's say that this circle-looking thing represents a whole. We've already seen a couple of situations. We said, hey, look, we could divide this into two equal pieces. And if we shade in one of them-- so one of these equal pieces-- that would be 1/2. And then if we shade in two of them, this would be 2/2. So let me color that in a little bit better. So this right over here, I've divided into two equal pieces. And I'm shading in two of these equal pieces. So what fraction of the whole do I have shaded in? Well, we've seen this multiple times. This is 2/2 of the entire figure. And we see we've shaded in the entire figure. So this is equal to 1 whole. And we could do that. We don't have to just split it into two equal parts. We could split it into three equal parts. So let's say we were to split it into three equal parts-- let me do that, my best attempt to draw three equal parts. Three equal parts looks like a Mercedes symbol. And that's my best. I could draw a little bit better job of that. Let me be clear that I'm trying to make them equal. So that's three equal parts. And then if we were to actually shade in the three equal parts-- so that would be one of the three, so that's 1/3, 2/3, and 3/3. So once again, 3/3 is equal to 1 whole. Now, what if we were to do something, on some level, even simpler? What if we just take our whole and we divide it into only one equal section? Well, I've already done that. This is one equal section right over here. And then I were to select that one equal section-- so let me color it in. So I have one section, and I'm going to shade it in. So what fraction of the whole do I now have shaded in? Well, I had one equal section to begin with. And I shaded in that one equal section. So I have 1/1 of this shaded in. And this is also clearly an entire whole. So this is also equal to a whole. And I think you see a pattern here. 2/2, 3/3, or 1/1-- these all represent the exact same value. They all represent a whole. And you would also see this if you were to draw a number line. So this is 0. This is 1. We could keep on going. Well, this is 1/1. If I were to say, well, between 0 and 1, I just have 1, I divide it into one equal chunk, well, that's just this whole thing right over here. And if I were to move one of those equal chunks, I would get to 1. If I divide it into two equal chunks and if I make two jumps-- one, two jumps-- I still end up at 1. If I divide it into three equal sections-- so let's say one, two, three equal sections-- and I make three jumps-- one, two, three-- I end up at 1 again. So 2/2, 3/3, 1/1, or 1 over 1-- these all are different ways of representing the number 1, or 1 whole.