Mixed Numbers and Improper Fractions - Free Educational videos for Students in K-12

Mixed Numbers and Improper Fractions - By tecmath

Transcript


00:0-1	Welcome to the Tech mouth channel . This video is
00:02	looking at mixed numbers and improper fraction . So I'll
00:05	quickly go over there . Just a recap of what
00:07	mixed numbers and improper fractions are . So mixed number
00:10	is a number which is made up of both .
00:12	A whole number part and a fraction part . So
00:16	for example , we could have a number like one
00:18	and three quarters . Okay . It's got this whole
00:22	number and this fraction part , hence it's called a
00:24	mixed number . An improper fraction is a fraction ,
00:28	such as the following are so seven out of four
00:32	. It has a numerator which is bigger than the
00:35	denominator . The top number of this fraction is bigger
00:38	than the bottom number and these guys are related to
00:40	one another . And you can change between these guys
00:43	. Uh , quite often if you have a mixed
00:45	number , it's quite handy to change it across to
00:47	an improper fraction just when you want to do calculations
00:50	with it , but then you maybe want to change
00:51	it back . So a greater understanding of what the
00:54	numbers are actually doing . Okay , so let me
00:57	give you an example of what I mean by how
00:59	these guys can be equivalent to how they are equivalent
01:02	to one another . Um So for instance if I
01:05	was to draw one and three quarters , I would
01:07	draw two parts here , but I'm going to break
01:09	them up into quarters . Okay ? So as you
01:11	can see here , we've got three quarters showed in
01:13	here , so we have one and three quarters ,
01:16	so this is representing one and three quarters pretty well
01:18	. But you also may be able to notice ,
01:20	is this how many quarters altogether as shaded in ?
01:23	And we have 1234567 So we have seven quarters .
01:32	So these are pretty much just a different way of
01:35	saying exactly the same thing . So what we're gonna
01:38	be looking for is a nice easy way of changing
01:40	between these and this is that if you want to
01:43	change from a mixed number here across to an improper
01:46	fraction , the easiest way is you can look at
01:48	and say , okay , we have one group of
01:50	four here . One group of force , this is
01:52	one times four to this . We're going to add
01:57	these three parts here , so one group of four
01:59	, which is is four plus these three here ,
02:01	one times four which is four plus three is equal
02:04	to seven . We get the seven and we just
02:06	place it over the same denominator . What about if
02:10	we were trying to change from the improper fraction across
02:13	to the mixed number ? Well , this is pretty
02:14	simple . This line here . This just means divided
02:19	by the seven , divided by four is 1 With
02:22	three left over . So one And then you put
02:25	the three out of the denominator . So let's have
02:28	a look at that without the pictures here to say
02:30	you wanted to put 11 Over five as a mixed
02:34	number at the moment it's an improper fraction . How
02:36	would you go about doing that ? Once again ?
02:39	This means 11 divided by five . So how many
02:42	fives are at 11 ? You can say okay well
02:44	there's two . How many remainder ? There is a
02:46	one remainder That one reminder we put over this Denominator
02:51	here so this becomes two and 1/5 . And that's
02:54	as easy as it is . Okay . What about
02:57	we give an example where we go from a mixed
03:00	number across to an improper fraction and then I'll give
03:04	you a few examples to do . So what about
03:06	we have a look at side . We wanted to
03:07	change two and 1 3rd across to and improper fraction
03:13	. How would you do that ? So the easiest
03:16	way is you can think about this and you can
03:17	say , okay , we've got to we're going to
03:19	be dealing with thirds here . I'll draw this up
03:20	. Okay , We have 123456 These are the whole
03:24	bits here . We have seven . Okay , So
03:26	this is going to be seven thirds . But what
03:28	you could also think about with this is we could
03:29	go , okay , two times three . This is
03:31	two times three here , which is equal to six
03:34	. So we're going to multiply these guys and we're
03:37	going to add this final one at the end .
03:38	So two times three is six plus one . We
03:41	have seven And then denominator stays the same . So
03:45	this becomes seven out of three . All right .
03:49	What about a few examples for you to do so
03:51	, changes across to their equivalent form while they're a
03:53	mixed number . An improper fraction . What about we
03:56	do for and to fitz And change it into the
04:01	improper fraction . What about 16 out of 3 ?
04:06	And we'll change it into the next number . And
04:08	what about uh nine and 2/3 . All right .
04:15	These are really simple . Right ? So , how
04:17	do we do this to start off ? If you
04:18	don't have to draw these out , you're just going
04:20	to go four times five because there's four groups of
04:23	five plus two . So four times five is 20
04:26	plus two is 22 . And the number on the
04:29	bottom is going to be this denominator 22/5 , 16
04:35	, divided by 3 . 16 , divided by three
04:37	is equal to five . And there's one left over
04:41	. And we just put that over the denominator .
04:44	Okay , now we're gonna change this mixed number here
04:47	into its improper fraction . So nine times three is
04:50	equal to 27 plus two is equal to 29 .
04:55	And we just put the denominator on the bottom .
04:57	Anyway . We're gonna be using these ideas later on
05:00	when we're adding fractions and multiple infractions . So hopefully
05:02	you got that under your belt . Thank you for
05:04	watching . We'll see you next time .

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