Convert any Fraction to a Decimal - easy math lesson - By tecmath
Transcript
| 00:0-1 | Good day and welcome to Tech Mouth Channel . What | |
| 00:02 | we're gonna be having a look at this video is | |
| 00:04 | converting from fractions to decimals and then a little bit | |
| 00:07 | more difficult . We're gonna have a look at converting | |
| 00:10 | back from decimals to fractions . It does require a | |
| 00:12 | little bit more work . Okay , we'll be looking | |
| 00:14 | how to do that anyway , it's a really handy | |
| 00:17 | little trick now . Um so first off we're gonna | |
| 00:19 | be looking at converting from fractions to decimal . So | |
| 00:22 | I'll give you an example here , say we go | |
| 00:25 | , I'll give you a fraction here , we'll write | |
| 00:27 | down the one will convert is 3/8 . Now look | |
| 00:30 | , you may already know this as a decimal but | |
| 00:32 | I'll show you how we can work this out . | |
| 00:34 | So one way of thinking about fractions is that it | |
| 00:38 | is the division between two numbers ? So example , | |
| 00:41 | here 3/8 is literally three divided by eight . Okay | |
| 00:47 | , we could describe that as so we can actually | |
| 00:49 | work this out as a decimal by going three divided | |
| 00:53 | by eight . So let's do this . So we're | |
| 00:55 | gonna work this out not using calculator , we're gonna | |
| 00:58 | work this out using a standard division type some so | |
| 01:03 | Let's do this . So eight and this is going | |
| 01:08 | into three but because this is going to be a | |
| 01:10 | decimal , I want to end up putting a bunch | |
| 01:13 | of decimal places here that we can work with and | |
| 01:15 | you'll see why these are really valuable as we go | |
| 01:18 | along . So let's start this division out . So | |
| 01:21 | I'll put the decimal place up here where it's gonna | |
| 01:23 | go . So eight into three , we can't do | |
| 01:26 | so zero there . And so what we do is | |
| 01:29 | we carry this three Across . Okay , so eight | |
| 01:34 | into 30 now , 18 to 30 ? Well That | |
| 01:38 | goes three times because 3824 . Okay , so how | |
| 01:43 | much is left over ? There is six left over | |
| 01:46 | for 38 24 . So eight into 60 . Okay | |
| 01:51 | so 7/8 of 56 seven Because 7 8 - 56 | |
| 01:58 | there is four left over . Okay so we left | |
| 02:02 | with now we have 40 years at eight into 40 | |
| 02:06 | goes five times . Okay . And there's no remainder | |
| 02:10 | . So we've got what we call a terminating decimal | |
| 02:12 | answer here . It's finished , there's no remainder . | |
| 02:15 | This decimal is now terminated and that is our answer | |
| 02:18 | . Okay so 3/8 as a decimal is point 375 | |
| 02:25 | Okay , so I'll give you another example of this | |
| 02:29 | . What about one where we we don't get a | |
| 02:32 | terminating answer like that . I'll give you an example | |
| 02:34 | of this would be so we had to say something | |
| 02:36 | like uh two thirds , so two thirds again you | |
| 02:41 | can think about this as being two divided by three | |
| 02:44 | . So let's do this , get this through , | |
| 02:48 | we'll get the the three there and we're going to | |
| 02:53 | put this into two decimal places here . 0000 Okay | |
| 02:58 | . four . Very nice and handy there . And | |
| 03:01 | The death toll place will line up so 3-2 we | |
| 03:04 | can't do it . So I put a zero there | |
| 03:07 | and I'm going to carry this to across Three into | |
| 03:10 | 20 because this is now 23 and 20 goes six | |
| 03:13 | times six threes 18 and there's two left over . | |
| 03:18 | Okay , now we've got two years so too is | |
| 03:20 | being carried because two leftover , we've got 20 years | |
| 03:23 | , so three into 20 goes six times Because six | |
| 03:27 | years 18 , there's two left over going to carry | |
| 03:30 | that too . We got 20 again , three into | |
| 03:33 | 20 , what do you think that will be basically | |
| 03:35 | ? Again , that's six times carry the two during | |
| 03:38 | the 26 times . So it's gonna be , it's | |
| 03:40 | gonna , that's gonna keep going on forever and ever | |
| 03:42 | and ever and ever and ever and ever and ever | |
| 03:44 | . In fact we can write this as far as | |
| 03:46 | we can actually write this equals 0.6 and we put | |
| 03:50 | this little dot up here and what this little dot | |
| 03:52 | up here means that we have a recurring decimal which | |
| 03:55 | is just going to go on forever and ever and | |
| 03:57 | ever . This will continue to be a six . | |
| 03:58 | So this is what this little dot here means if | |
| 04:01 | ever you see that by the way , so you | |
| 04:02 | don't have to write 666666 and keep working out , | |
| 04:06 | You just put the 0.6 with this recurring . So | |
| 04:11 | that's how we go about changing a fraction into a | |
| 04:14 | decimal . So next up let's have a look about | |
| 04:17 | how to convert decimals into fractions . So I'm gonna | |
| 04:21 | put a link to that on our next video so | |
| 04:23 | I'll see you then . Okay |
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