Math Antics - Fractions Are Division - By mathantics
Transcript
| 00:03 | Uh huh . Okay . So far we've learned how | |
| 00:08 | fractions represent parts of things and we've learned how to | |
| 00:10 | do some simple math with those parts . But if | |
| 00:12 | we want to really understand how fractions work , we | |
| 00:15 | need to start thinking about them in a new way | |
| 00:17 | . We need to learn what fractions really are . | |
| 00:19 | A fraction is just a number that's written like a | |
| 00:22 | division problem . You remember division right ? Where you | |
| 00:25 | take one number and divided up by another number . | |
| 00:28 | And you might also remember that there's different ways to | |
| 00:30 | write a division problem . When you first learn about | |
| 00:32 | division , you usually see division problems written like this | |
| 00:36 | . Now that symbol in the middle just means divide | |
| 00:38 | this number by that number . Then you learn it's | |
| 00:41 | useful to write a division problem , a different way | |
| 00:44 | like this . Now that's still the same division problem | |
| 00:47 | . It just uses a different symbol to tell us | |
| 00:49 | to divide . So that's two different ways to write | |
| 00:52 | the same division problem . But wait there's more now | |
| 00:55 | some of you who use computers a lot might have | |
| 00:58 | seen division written like this now that slash is just | |
| 01:01 | another way to write the division symbol . Now this | |
| 01:03 | one's interesting . Watch what happens when we rearrange it | |
| 01:06 | a little bit . Look familiar , yep . It's | |
| 01:09 | a division problem that looks like a fraction and that's | |
| 01:12 | just because a fraction really is a division problem . | |
| 01:15 | But we treat it like a number . The line | |
| 01:17 | between the top and bottom numbers is just another way | |
| 01:20 | of writing the division symbol . The cop number is | |
| 01:23 | the number being divided up and we call it the | |
| 01:25 | numerator . The bottom number is the number we're dividing | |
| 01:28 | by and we call it the denominator . Now let's | |
| 01:31 | look at some of the common fractions that you're already | |
| 01:33 | familiar with and think of them as division problems . | |
| 01:36 | For example , one half or 1/2 is really just | |
| 01:40 | one divided by two . The fraction two thirds or | |
| 01:44 | 2/3 really means two divided by three and the fraction | |
| 01:48 | 3/4 or 3/4 really means three divided by four . | |
| 01:52 | Thinking about fractions . Like little division problems might seem | |
| 01:55 | strange to some of you , especially because these division | |
| 01:58 | problems show smaller numbers being divided by larger numbers . | |
| 02:01 | You may not have seen that before . You might | |
| 02:03 | not have even thought it was possible , but you | |
| 02:05 | can divide a smaller number by a bigger one . | |
| 02:08 | It just means that the answer you get is going | |
| 02:10 | to be smaller than one . If the idea of | |
| 02:12 | dividing a smaller number by a bigger one seems confusing | |
| 02:15 | to you don't worry , it's going to make a | |
| 02:17 | lot more sense in the next section when we learn | |
| 02:19 | about decimal numbers and how they relate to fractions , | |
| 02:22 | let's review what we've learned so far . This section | |
| 02:25 | was short but in it we learned the most important | |
| 02:27 | thing there is to know about fractions . We learned | |
| 02:30 | that fractions are numbers that are written like division problems | |
| 02:33 | . The line between the top and bottom numbers is | |
| 02:36 | another form of the division symbol that tells you to | |
| 02:39 | divide the top number by the bottom number . The | |
| 02:43 | top number is called the numerator and the bottom number | |
| 02:46 | is called the denominator . It might be a new | |
| 02:49 | idea to you but you can divide a smaller number | |
| 02:51 | by a bigger number . This was a really important | |
| 02:54 | concept we've covered So be sure to do the exercises | |
| 02:57 | before you move on . Mhm . Learn more at | |
| 03:00 | math antics dot com . |
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