Simplifying Fraction - Free Educational videos for Students in K-12

Simplifying Fraction - By tecmath

Transcript


00:0-1	Good day . Welcome to the Tech Math channel .
00:01	What we're going to be having a look at in
00:02	this video is simplifying fractions and it's a pretty easy
00:05	thing to do . Uh , I'll just launch straight
00:07	into it . So say for example , we had
00:10	the following fraction for out of 8 4/8 and I'll
00:14	even draw it up right now . So what we
00:15	mean when we say we're going to simplify this fraction
00:18	here is we're looking for a common factor that goes
00:19	into both the top number and the bottom number here
00:22	into the numerator and the denominator . So we can
00:25	find a common number goes into both of it .
00:27	Then what we can do is we can divide that
00:30	factor into these numbers and reduce the top and the
00:33	bottom number here . So they're in more simple terms
00:35	, I'll show you what I mean by this .
00:37	So what is the common number that goes into both
00:40	four and into eight ? And the highest common factor
00:43	that I can think of here would be 44 goes
00:46	into four one time And it goes into eight two
00:50	times . So if we go forward divided by four
00:53	, we get one and eight divided by four ,
00:55	we get to . So an equivalent fraction to 4/8
00:58	is one half . Okay . They mean exactly the
01:01	same thing as you can see here . In terms
01:03	of these dots here , half of them are shaded
01:04	in , but we've made the numbers a lot more
01:07	simple and that's all it's meant by simplification . Can
01:10	we take this any further ? Well , because we've
01:11	got a one here , we can see straight away
01:14	that we can't but there is no common factor that
01:16	we can divide into both one and two , that
01:18	we would reduce it any further . So no ,
01:20	we can't . So what about another example ? Okay
01:23	, for our next example we're going to have a
01:24	look at another fraction . 16 and 24 . We'll
01:28	get to a hard example after this one . But
01:30	something nice and easy to start off with here .
01:32	So 16 out of 24 . Now , is there
01:35	a common number that goes into both of these ?
01:37	And what is the highest common number that goes into
01:39	both ? Now , what I'm gonna do is I'm
01:41	gonna not choose the highest common one , which is
01:43	eight . I'm gonna choose The one below that ,
01:46	which is four . But I'm going to show you
01:47	why uh so say I had chosen for accidentally I
01:51	couldn't see a higher factor and I've chosen for .
01:53	So 16 divided by four is equal to four and
01:57	24 divided by four is equal to six . Now
02:00	, what you can see here as you can see
02:02	with this particular fraction here , it can be taken
02:05	further . There is a common factor that goes into
02:07	both four and six which is to Okay , so
02:11	devices do this divided by two , divide by two
02:16	. What do we get ? Four divided by two
02:18	is equal to two and six divided by two is
02:22	equal to three because there is no common factor that
02:25	goes into both two and three , that would reduce
02:26	it any further . This is our most simple form
02:30	of 16 and 24 but as I was trying to
02:32	show you with this is you can do this in
02:34	steps if you want to uh If you had a
02:37	divided straight by eight , you're gonna go on 16
02:38	divided by eight and got to 24 divided by eight
02:41	and got three and you could have saved yourself a
02:43	step But occasionally you will do steps in between and
02:46	that's okay if you do do that . Okay ,
02:48	another example . Okay , what about six and 21
02:52	out of 28 ? So I'm going to put a
02:53	mixed number in here . So what we do when
02:56	we have a mixed number now , this is pretty
02:59	easy . What we do is first off , this
03:01	number is going to stay the same , the actual
03:03	whole number here . The six is going to stay
03:05	the same . We're not going to modify that whatsoever
03:07	. We don't need to do anything to simplify this
03:09	at all . So answer is just going to start
03:12	with the six . The only part that we need
03:14	to simplify is this part here . So let's do
03:17	that . What's the common number that goes into both
03:19	21 28 ? And you can say okay , seven
03:22	does divide by seven divided by seven , So it's
03:26	21 divided by seven is equal to three , 28
03:31	, divided by seven is equal to four . And
03:33	there is no common factor that goes into both three
03:35	and four that will reduce it any further . So
03:37	this is as simple as it gets . So now
03:39	all I need to do is just add this whole
03:41	number of components , but this six to it .
03:44	All right . What about a couple of examples for
03:45	you to do ? Okay , simplify the following 22
03:50	out of 50 . What about we simplify uh 21
03:55	out of 56 and finally I'll put a mixed number
03:59	in here . What about two and 16 out of
04:02	64 ? All right , go through and try to
04:06	do these . So first off , look for that
04:09	highest common factor and reduce reduce , reduce . So
04:12	22 divided by 50 . Now looking at this number
04:16	that goes into both of these . Now look ,
04:18	you can look straight away and say okay to goes
04:20	into both of these two is a nice easy one
04:22	. They're both even numbers . So we can say
04:24	that . Okay , let's divide both the top and
04:26	the bottom by two . Okay , 22 divided by
04:30	two is equal to 11 50 , divided by two
04:34	is equal to 25 . Is there a common number
04:37	that goes into both 11 and 25 ? Well ,
04:40	nothing I can think of . So this is the
04:43	most simple version of what we have . Okay ,
04:46	let's have a look at the next number here .
04:48	21 56 . What number goes into both of these
04:51	? Number seven ? Right . Seven goes into 21
04:54	3 times and it goes into 56 8 times because
04:57	7/8 of 56 ? Uh All right . Is there
05:00	a common number that goes into both three and eight
05:03	is not ? So this is the most simple version
05:05	of 21 out of 56 ? Okay , the last
05:09	question you had here , so the two is going
05:10	to stay the same , We're just gonna need to
05:13	simplify the fraction component of it . So what's a
05:15	common number that goes into both 16 and 64 ?
05:19	Now , I'm going to tell you the biggest one
05:20	that I can think of straight away , the number
05:22	that goes into both of these , you can choose
05:24	to and you can choose for and you can choose
05:26	eight , but I'm going to heavy , it is
05:28	, I am going to say the biggest factor that
05:30	goes into both of these is 16 , 16 goes
05:33	into 16 once and it goes into 64 four times
05:38	, uh and that whole number there stays the same
05:40	, so this is equal to two and a quarter
05:42	. You might have had to do that in multiple
05:45	steps , but hopefully you've got that same answer ,
05:47	and that's the right answer . So , anyway ,
05:50	how did you find that ? It's not too bad
05:51	, right simplification . It's really simple . If you
05:55	pardon the really bad dad joke there , Anyway ,
05:58	we'll see you next time . Bye .

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Simplifying Fraction is a free educational video by tecmath.

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