Math Antics - Fractions Are Parts - By mathantics
Transcript
| 00:03 | Uh huh . If you've been learning math for a | |
| 00:07 | while then you probably already know a thing or two | |
| 00:09 | about fractions . And if you've ever had to uh | |
| 00:12 | break a cookie and have to share with a friend | |
| 00:14 | but then you have used fractions in real life . | |
| 00:16 | Oh well thank you . That's because fractions are used | |
| 00:22 | to represent smaller pieces or parts of things . When | |
| 00:26 | you're first learning about fractions , it can help to | |
| 00:28 | draw pictures to see how they work . So let's | |
| 00:30 | start by drawing a circle . Now this circle represents | |
| 00:32 | what we call a whole . Now not the kind | |
| 00:35 | of hole you can fall into more like a hairy | |
| 00:37 | cookie or a whole pizza . Now if we divide | |
| 00:41 | that circle or whole amount into four parts then we | |
| 00:44 | call each of those parts of fraction of the original | |
| 00:47 | whole circle . Because this is math and not art | |
| 00:49 | , we can't just keep on drawing pictures . We | |
| 00:52 | need to learn how to write out fractions . Using | |
| 00:54 | the language of math , yep . You guessed it | |
| 00:56 | ? That means using numbers unlike a regular number to | |
| 01:00 | write a fraction , you need two numbers , one | |
| 01:02 | number on top , one , number on bottom and | |
| 01:04 | a line between them . I'll explain exactly what the | |
| 01:07 | lions for later in the video . But for now | |
| 01:10 | let's figure out what those two numbers mean . Remember | |
| 01:13 | fractions are used to represent parts of something and the | |
| 01:15 | number on the bottom tells us how many parts that | |
| 01:18 | something is divided into . The number on top tells | |
| 01:21 | us how many of those parts we have . Yeah | |
| 01:27 | , for example , let's write a fraction for our | |
| 01:30 | drawing here . I divided the circle into four parts | |
| 01:32 | . Right ? So the number on the bottom will | |
| 01:35 | be four and I still have all four of those | |
| 01:37 | parts . So the number on top will also be | |
| 01:39 | four . I have four out of four parts . | |
| 01:42 | That means I still have a whole circle . But | |
| 01:45 | what if somebody came by and took away one part | |
| 01:47 | from the circle ? Well the circle still divided into | |
| 01:50 | four parts . So the bottom number would still be | |
| 01:53 | four . But I only have three of those parts | |
| 01:55 | left . So that means the top number will change | |
| 01:58 | to three . So I have 3/4 or 3/4 of | |
| 02:02 | a circle . Makes sense so far good . Let's | |
| 02:05 | try another example . Let's say that I divide the | |
| 02:08 | rectangle up into eight parts and I give you three | |
| 02:11 | of those parts . Since the total number of parts | |
| 02:14 | is eight , the bottom number will be eight . | |
| 02:17 | And since you have three of those parts , the | |
| 02:19 | top number will be three . So the fraction I'm | |
| 02:22 | giving you is 3/8 or 3/8 of the rectangle . | |
| 02:27 | No no no no need to think oh and it's | |
| 02:31 | important to remember that for fractions to work right ? | |
| 02:34 | The parts that you divide the whole up into have | |
| 02:36 | to be equal . We can't like we'll take a | |
| 02:39 | candy bar and say I'm going to divide it into | |
| 02:42 | two parts . So this is your half and here's | |
| 02:46 | my half . Mm . Let's look at a few | |
| 02:51 | more examples . So you can really see the pattern | |
| 02:53 | of how fractions can represent parts of objects . This | |
| 02:56 | rectangle is divided up into three equal parts and two | |
| 02:59 | of them are shaded red . So to over three | |
| 03:03 | or 2/3 of the rectangle is shaded red . The | |
| 03:07 | circle is divided into 12 equal parts . And seven | |
| 03:10 | of those parts are shaded green . So 7/12 or | |
| 03:14 | 7/12 of the circle is shaded green . The hexagon | |
| 03:17 | is divided into six equal parts and five of those | |
| 03:20 | parts are shaded blue . So 5/6 or 5/6 of | |
| 03:25 | the hexagon is shaded blue . Mhm . All right | |
| 03:28 | , so you can see how fractions can be used | |
| 03:30 | to represent parts of objects , like circles and rectangles | |
| 03:34 | , but fractions can be used for more than that | |
| 03:36 | . They can be used to represent parts of Well | |
| 03:39 | , anything like like pets , for example , let's | |
| 03:43 | say you have seven pets . Four dogs , two | |
| 03:45 | cats and a big fat hamburger . Well , that | |
| 03:48 | means that 4/7 or 4/7 of your pets are dogs | |
| 03:52 | , and to over seven or 2/7 of your pets | |
| 03:55 | are cats , And 1/7 or 1/7 of your pets | |
| 03:59 | are hamsters . It also means that your house probably | |
| 04:02 | smells like a pet store . Okay , so fractions | |
| 04:05 | can be used to represent anything from parts of a | |
| 04:09 | circle . Two kitty cats , did you know that | |
| 04:11 | fractions can also be used to represent things . You | |
| 04:13 | can't even see . Well , like a test score | |
| 04:15 | for example , Let's say you take a math test | |
| 04:18 | and there's 20 questions on the test and you get | |
| 04:21 | 17 of those questions , right ? That means that | |
| 04:24 | you've got 17/20 or 17.20th . Some of the questions | |
| 04:28 | . Right ? All right . So that's the basic | |
| 04:31 | idea of how fractions can be used to represent parts | |
| 04:33 | of things , but there's a lot more to fractions | |
| 04:35 | in that . In the next section , we're going | |
| 04:38 | to be looking at some of the other things we | |
| 04:39 | can do with fractions . But before that , let's | |
| 04:41 | review fractions are used to represent parts of a whole | |
| 04:45 | . Fractions are written in the form of a top | |
| 04:47 | number over a bottom number with a line between them | |
| 04:51 | . The bottom number represents how many parts the whole | |
| 04:54 | is divided into , and the top number represents how | |
| 04:57 | many of those parts you have . And finally , | |
| 05:00 | the parts that a whole is divided up into must | |
| 05:02 | be equal for fractions to work right to really understand | |
| 05:06 | how fractions are used to represent parts of things . | |
| 05:08 | Be sure to do the exercises , and I'll see | |
| 05:10 | you in Section two , learn more at math antics | |
| 05:14 | dot com . |
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