1
00:00:02,240 --> 00:00:06,227
This tutorial is about the basic
concepts of fractions.
2
00:00:06,760 --> 00:00:11,200
What they are, what they look
like, and why we have them.
3
00:00:12,340 --> 00:00:17,048
A function is a way of writing
part of a whole.
4
00:00:17,770 --> 00:00:22,814
And it's formed when we divide a
whole into an equal number of
5
00:00:22,814 --> 00:00:27,370
pieces. Now let's have a look.
I've got a representation here.
6
00:00:28,120 --> 00:00:29,080
Of a whole.
7
00:00:30,200 --> 00:00:36,752
And let's say we want to divide
it into 4 equal pieces.
8
00:00:38,520 --> 00:00:44,760
So there we've
taken 1 hole
9
00:00:44,760 --> 00:00:51,000
and divided it
into 4 equal
10
00:00:51,000 --> 00:00:57,240
pieces. So each
piece represents 1/4.
11
00:00:58,510 --> 00:00:59,810
Wow.
12
00:01:00,870 --> 00:01:04,180
I've now taken 1/4 away.
13
00:01:05,800 --> 00:01:09,436
Now I've removed
14
00:01:09,436 --> 00:01:15,060
two quarters. If
I take a third.
15
00:01:15,990 --> 00:01:22,986
That's 3/4.
And if I take the false so I've
16
00:01:22,986 --> 00:01:24,821
now got all four pieces.
17
00:01:25,440 --> 00:01:30,401
I've taken all of them for
quarters, which is exactly the
18
00:01:30,401 --> 00:01:32,656
same as taking the whole.
19
00:01:33,240 --> 00:01:38,080
Let's just return for a moment
to the two quarters.
20
00:01:38,600 --> 00:01:42,840
Now
two
21
00:01:42,840 --> 00:01:46,494
quarters. Is exactly
22
00:01:46,494 --> 00:01:52,695
the same. As if I'd started
with my whole and actually
23
00:01:52,695 --> 00:01:54,210
divided it into.
24
00:01:55,010 --> 00:01:57,610
2 pieces of equal size.
25
00:01:58,450 --> 00:02:00,202
And you can see that that's
26
00:02:00,202 --> 00:02:06,040
exactly the same. As two
quarters so I can write two
27
00:02:06,040 --> 00:02:10,480
quarters. As one
half.
28
00:02:12,270 --> 00:02:15,998
Let's have a look at
another illustration now.
29
00:02:17,190 --> 00:02:19,395
Here I have a bar of chocolate.
30
00:02:20,740 --> 00:02:22,369
It's been divided.
31
00:02:22,930 --> 00:02:29,144
Into six pieces of equal size.
So we've taken a whole bar and
32
00:02:29,144 --> 00:02:31,534
divide it into six pieces.
33
00:02:32,270 --> 00:02:36,540
So each piece is
16.
34
00:02:38,330 --> 00:02:42,506
Now, let's say I'm going to
share my bar of chocolate with
35
00:02:42,506 --> 00:02:43,550
the camera man.
36
00:02:44,650 --> 00:02:50,770
So I want to divide the bar
of chocolate into two pieces.
37
00:02:51,370 --> 00:02:53,170
So if I do that.
38
00:02:55,160 --> 00:02:59,060
Where each going to have one
39
00:02:59,060 --> 00:03:05,940
236. So 1/2 is
exactly the same as 36.
40
00:03:06,810 --> 00:03:11,139
But there's not just one
cameraman. We've got two
41
00:03:11,139 --> 00:03:16,430
cameramen, so I need to share
it. Actually, between three of
42
00:03:16,430 --> 00:03:23,475
us. So now if I put my bar back
together and I need to share it
43
00:03:23,475 --> 00:03:27,060
between 3:00. Where
each going to get.
44
00:03:28,430 --> 00:03:30,810
Two pieces.
45
00:03:32,550 --> 00:03:38,110
So 1/3 is exactly the
same as 26.
46
00:03:38,910 --> 00:03:45,540
But Let's say I
want to eat all my chocolate bar
47
00:03:45,540 --> 00:03:51,169
myself, so I'm going to have all
six pieces, so they're all mine.
48
00:03:51,700 --> 00:03:55,693
Not going to share them, so I
take all six pieces.
49
00:03:56,310 --> 00:03:58,596
And I've taken away the whole
50
00:03:58,596 --> 00:03:58,977
bar.
51
00:03:59,540 --> 00:04:06,470
So.
Fractions we can look at.
52
00:04:07,010 --> 00:04:08,348
In two ways.
53
00:04:09,320 --> 00:04:13,200
We can look at it as the number
54
00:04:13,200 --> 00:04:15,850
of pieces. That we've used.
55
00:04:17,130 --> 00:04:23,610
Divided by the
number of pieces.
56
00:04:24,280 --> 00:04:27,260
That make a whole.
57
00:04:27,260 --> 00:04:32,950
Oh
58
00:04:33,990 --> 00:04:36,888
As the whole.
59
00:04:37,710 --> 00:04:44,173
Divided by. Number of pieces
or number of people that we've
60
00:04:44,173 --> 00:04:45,484
divided it into.
61
00:04:46,290 --> 00:04:52,494
So here we have a whole bar
divided into 6 pieces.
62
00:04:53,880 --> 00:04:57,510
Here we have the number of
pieces that we've taken divided
63
00:04:57,510 --> 00:05:01,470
note 5 the number of pieces that
make up the whole bar.
64
00:05:03,540 --> 00:05:10,828
Let's have a look
at some other fractions.
65
00:05:10,830 --> 00:05:16,926
Let's say
we have
66
00:05:16,926 --> 00:05:18,450
3/8.
67
00:05:20,000 --> 00:05:25,352
So we've divided a whole up into
8 pieces of equal size.
68
00:05:25,890 --> 00:05:27,636
And we've taken three of them.
69
00:05:28,270 --> 00:05:29,590
3/8
70
00:05:31,150 --> 00:05:34,960
We could have 11 twelfths.
71
00:05:35,800 --> 00:05:41,767
So we've divided a whole up into
12 pieces and taking eleven of
72
00:05:41,767 --> 00:05:46,060
them. We could have
7/10.
73
00:05:47,160 --> 00:05:52,424
Here we will have divided a hole
into 10 pieces of equal size and
74
00:05:52,424 --> 00:05:53,928
taken Seven of them.
75
00:05:54,710 --> 00:05:56,238
And we can have.
76
00:05:56,800 --> 00:06:04,696
Any numbers in our fraction so
we could have 105 hundreds or
77
00:06:04,696 --> 00:06:07,986
three 167th and so on.
78
00:06:08,900 --> 00:06:12,165
Now we've looked at representing
79
00:06:12,165 --> 00:06:16,897
fractions. Using piece of Cod
circular representation are
80
00:06:16,897 --> 00:06:19,452
rectangle with our bar of
81
00:06:19,452 --> 00:06:24,008
chocolate. Let's have a look at
one more before we move on and
82
00:06:24,008 --> 00:06:25,478
let's let's see it on.
83
00:06:26,110 --> 00:06:28,000
A section of number line.
84
00:06:29,560 --> 00:06:31,877
So let's say we have zero here.
85
00:06:32,540 --> 00:06:34,439
And one here.
86
00:06:34,950 --> 00:06:37,302
So let's look at what 3/8 might
87
00:06:37,302 --> 00:06:44,150
look like. While I need to
divide my section into 8 pieces
88
00:06:44,150 --> 00:06:45,818
of equal size.
89
00:06:46,690 --> 00:06:49,993
Now obviously this is an
illustration, so I'm not
90
00:06:49,993 --> 00:06:53,663
actually getting my router
out to make sure I've got
91
00:06:53,663 --> 00:06:54,764
equal size pieces.
92
00:06:55,830 --> 00:07:01,894
But hopefully. That's about
right. So we've got 12345678
93
00:07:01,894 --> 00:07:09,238
pieces of equal size and I'm
going to take three of them.
94
00:07:09,238 --> 00:07:12,910
So if I take 1, two
95
00:07:12,910 --> 00:07:17,600
3/8. That's where my 3
eights will be.
96
00:07:20,630 --> 00:07:22,639
Let's have a look at
another one.
97
00:07:24,590 --> 00:07:28,340
This time will look at
98
00:07:28,340 --> 00:07:33,206
11 twelfths. So we need to
divide our line up into.
99
00:07:34,300 --> 00:07:40,033
Pieces so we have 12 pieces
of equal size.
100
00:07:48,390 --> 00:07:55,350
OK, so we wanted
eleven of them, so
101
00:07:55,350 --> 00:08:02,310
we need to count
11 one 23456789 ten
102
00:08:02,310 --> 00:08:05,790
11. So at 11
103
00:08:05,790 --> 00:08:08,800
twelfths. Is represented there.
104
00:08:10,240 --> 00:08:16,786
Let's look more
closely at our
105
00:08:16,786 --> 00:08:18,968
fraction half.
106
00:08:20,040 --> 00:08:26,088
Now we've already seen that half
is exactly the same as two
107
00:08:26,088 --> 00:08:31,174
quarters. And it's exactly the
same as 36.
108
00:08:32,100 --> 00:08:38,832
Well, it's also the same
as 4 eighths 5/10.
109
00:08:40,640 --> 00:08:44,210
2040 deaths
110
00:08:45,600 --> 00:08:50,770
9900 and 98th and so on. We
could go on.
111
00:08:51,500 --> 00:08:58,116
And what we have
here is actually equivalent
112
00:08:58,116 --> 00:09:05,376
fractions. Each one of these
fractions are equivalent at the
113
00:09:05,376 --> 00:09:08,152
same as each other.
114
00:09:10,460 --> 00:09:14,090
Now, this form of the fraction
115
00:09:14,090 --> 00:09:20,985
half. Is our fraction in its
lowest form, and often we need
116
00:09:20,985 --> 00:09:23,610
to write fractions in their
117
00:09:23,610 --> 00:09:29,122
lowest form. It's much easier to
visualize them actually in this
118
00:09:29,122 --> 00:09:32,118
lowest form than it is in any
119
00:09:32,118 --> 00:09:36,355
other form. So we often want to
find the lowest form.
120
00:09:37,710 --> 00:09:43,683
Well, let's have a look 1st at
finding some other equivalent
121
00:09:43,683 --> 00:09:46,941
fractions. So let's say I take
122
00:09:46,941 --> 00:09:52,485
3/4. How do I find an
equivalent fraction? Well, what
123
00:09:52,485 --> 00:09:58,185
I can do is multiply the top
number and the bottom number.
124
00:09:59,270 --> 00:10:00,878
By the same number.
125
00:10:01,380 --> 00:10:05,258
So let's say I multiply by two.
126
00:10:05,870 --> 00:10:10,719
If I multiply the top number by
two, I must also multiply the
127
00:10:10,719 --> 00:10:14,822
bottom number by two so that I'm
not changing the fraction.
128
00:10:15,750 --> 00:10:19,691
3 * 2 six 4 * 2
129
00:10:19,691 --> 00:10:26,454
is 8. So 6 eighths
is a fraction equivalent to 3/4.
130
00:10:28,370 --> 00:10:29,578
Let's try another one.
131
00:10:30,350 --> 00:10:33,710
This time, let's take our 3/4.
132
00:10:34,440 --> 00:10:39,434
And multiply it by three. The
top numbers multiplied by three,
133
00:10:39,434 --> 00:10:45,336
so most the bottom number B3
threes and 9 three force or 12,
134
00:10:45,336 --> 00:10:50,330
so nine twelfths is equivalent
to 6 eighths, and they're both
135
00:10:50,330 --> 00:10:51,692
equivalent to 3/4.
136
00:10:53,070 --> 00:10:57,437
Let's do one more this time.
Let's multiply both the top
137
00:10:57,437 --> 00:11:02,598
number on the bottom number by
10. So we have 3 * 10.
138
00:11:03,350 --> 00:11:04,718
Giving us 30.
139
00:11:05,230 --> 00:11:11,260
And 4 * 10 giving us
40. So another fraction
140
00:11:11,260 --> 00:11:14,878
equivalent to 3/4 is 3040
deaths.
141
00:11:16,090 --> 00:11:20,743
So it's very easy to find
equivalent fractions as long as
142
00:11:20,743 --> 00:11:25,819
you multiply the top number on
the bottom number by the same
143
00:11:25,819 --> 00:11:29,203
number. Now we have some
mathematical language here.
144
00:11:29,203 --> 00:11:34,279
Instead of using the word top
number and write it down top
145
00:11:34,279 --> 00:11:38,668
number. And bottom
number.
146
00:11:40,730 --> 00:11:45,720
We have two words that
we use. The top number
147
00:11:45,720 --> 00:11:47,716
is called the numerator.
148
00:11:49,350 --> 00:11:52,605
On the bottom number the
149
00:11:52,605 --> 00:11:58,523
denominator. Now let's have a
look at seeing how we go the
150
00:11:58,523 --> 00:12:03,176
other way. When we have an
equivalent fraction, how do we
151
00:12:03,176 --> 00:12:05,714
find this fraction in its lowest
152
00:12:05,714 --> 00:12:08,300
form? Well, let's look at an
153
00:12:08,300 --> 00:12:13,419
example. Let's say we've
got 8, one, hundreds.
154
00:12:14,890 --> 00:12:20,446
Now we need to find the number
that the lowest form was
155
00:12:20,446 --> 00:12:24,815
multiplied by. And that we ended
up with eight one hundredths.
156
00:12:25,610 --> 00:12:29,840
Well, the opposite of
multiplying is dividing, so we
157
00:12:29,840 --> 00:12:34,540
need to divide both the
numerator and the denominator by
158
00:12:34,540 --> 00:12:35,950
the same number.
159
00:12:36,460 --> 00:12:40,132
So that we get back to a
fraction in its lowest form.
160
00:12:40,780 --> 00:12:46,282
Well, if we look at the numbers
we have here 8 and 100, the
161
00:12:46,282 --> 00:12:50,605
first thing you should notice is
actually the both even numbers.
162
00:12:51,130 --> 00:12:54,710
And if they're both even
numbers, then obviously we can
163
00:12:54,710 --> 00:12:56,500
divide them both by two.
164
00:12:57,380 --> 00:13:03,188
So let's start by dividing the
numerator by two and the
165
00:13:03,188 --> 00:13:04,772
denominator by two.
166
00:13:05,510 --> 00:13:11,850
8 / 2 is four 100
/ 2 is 50.
167
00:13:12,970 --> 00:13:17,002
Now we need to look at our
fraction. Again. We found an
168
00:13:17,002 --> 00:13:20,026
equivalent fraction, but is it
in its lowest form?
169
00:13:20,830 --> 00:13:25,241
Well again, we can see that
they're both even numbers, both
170
00:13:25,241 --> 00:13:30,053
4 and 50 even, and so we can
divide by two again.
171
00:13:30,560 --> 00:13:38,100
4 / 4 gives us
2 and 50 / 2.
172
00:13:38,750 --> 00:13:44,100
Gives us 25, so another
equivalent fraction, but is it
173
00:13:44,100 --> 00:13:46,240
in its lowest form?
174
00:13:46,960 --> 00:13:53,330
Well, we need to see if there is
any number that goes both into
175
00:13:53,330 --> 00:13:56,970
the numerator and the
denominator. Well, the only
176
00:13:56,970 --> 00:14:02,430
numbers that go into 2A one
which goes into all numbers, so
177
00:14:02,430 --> 00:14:09,255
that's not going to help us. And
two now 2 doesn't go into 25. So
178
00:14:09,255 --> 00:14:14,715
therefore we found the fraction
in its lowest form, so 8 one
179
00:14:14,715 --> 00:14:17,445
hundreds. The lowest form is 220
180
00:14:17,445 --> 00:14:23,476
fifths. So when a fraction is in
its lowest form, the only number
181
00:14:23,476 --> 00:14:27,744
that will go into both the
numerator and the denominator is
182
00:14:27,744 --> 00:14:31,360
one. Those numbers have no other
183
00:14:31,360 --> 00:14:37,375
common factor. Now if we look
here, we can see that in fact.
184
00:14:37,950 --> 00:14:41,910
We could have divided by 4.
185
00:14:41,910 --> 00:14:45,474
Straight away, instead of
dividing by two twice, well,
186
00:14:45,474 --> 00:14:49,434
that's fine. If you've notice
tthat for was a factor.
187
00:14:49,990 --> 00:14:54,577
Of both the numerator and the
denominator, you could have gone
188
00:14:54,577 --> 00:15:01,249
straight there doing 8 / 4 was
two and 100 / 4 was 25 and then
189
00:15:01,249 --> 00:15:06,670
check to see if you were in the
lowest form. That's fine, but
190
00:15:06,670 --> 00:15:11,052
often. With numbers, larger
numbers is not always easy to
191
00:15:11,052 --> 00:15:15,100
see what the highest common
factor is of these two numbers,
192
00:15:15,100 --> 00:15:18,044
the numerator and the
denominator. So often it's
193
00:15:18,044 --> 00:15:22,092
easier to work down to some
smaller numbers, and then you
194
00:15:22,092 --> 00:15:25,772
can be certain that there are no
other common factors.
195
00:15:28,020 --> 00:15:28,540
Now.
196
00:15:29,880 --> 00:15:33,516
If we take all the
pieces of a fraction
197
00:15:33,516 --> 00:15:37,152
like I did with my
chocolate, I took all
198
00:15:37,152 --> 00:15:38,364
six of them.
199
00:15:39,760 --> 00:15:43,596
That's the same as 6 / 6.
200
00:15:44,110 --> 00:15:45,590
And that was our whole.
201
00:15:47,430 --> 00:15:53,406
And any whole number can be
written this way, so we could
202
00:15:53,406 --> 00:15:59,561
have. 3 thirds if we take all
the pieces, we've got one.
203
00:15:59,870 --> 00:16:05,865
8 eighths, if we take all the
pieces, we've got one.
204
00:16:05,870 --> 00:16:09,340
Now I'm going to rewrite.
205
00:16:09,900 --> 00:16:13,239
Mathematical words numerator.
206
00:16:13,790 --> 00:16:17,438
Divided fight denominator.
207
00:16:18,530 --> 00:16:22,270
Because we're now going to
208
00:16:22,270 --> 00:16:28,190
look. Add fractions
where the numerator.
209
00:16:30,490 --> 00:16:33,938
Smaller than the denominator.
210
00:16:36,590 --> 00:16:41,378
And we have a name for these
type of fractions and they
211
00:16:41,378 --> 00:16:42,575
called proper fractions.
212
00:16:47,530 --> 00:16:50,860
And examples.
213
00:16:50,860 --> 00:16:52,330
Half.
214
00:16:53,320 --> 00:16:58,140
3/4
16
215
00:16:59,380 --> 00:17:06,660
7/8 5/10 and
seeing all these cases, the
216
00:17:06,660 --> 00:17:10,060
numerator is smaller number than
217
00:17:10,060 --> 00:17:16,410
the denominator. And as long as
that is the case, then we have a
218
00:17:16,410 --> 00:17:20,730
proper fraction so we can have
any numbers 100 hundred and 50th
219
00:17:20,730 --> 00:17:24,554
for example. Now if
220
00:17:24,554 --> 00:17:30,700
the numerator.
Is greater than
221
00:17:30,700 --> 00:17:32,820
the denominator?
222
00:17:36,980 --> 00:17:41,556
Then the fraction is called
an improper fraction.
223
00:17:47,160 --> 00:17:50,289
And some examples.
224
00:17:50,350 --> 00:17:53,098
Three over two or three halfs.
225
00:17:53,930 --> 00:17:59,490
7 fifths.
Eight quarters
226
00:18:00,960 --> 00:18:03,650
We could have 12 bytes.
227
00:18:05,120 --> 00:18:08,708
Or we could have 201 hundredths.
228
00:18:09,780 --> 00:18:14,873
And in all these cases, the
numerator is larger than the
229
00:18:14,873 --> 00:18:19,590
denominator. And it shows that
what we've got is actually more
230
00:18:19,590 --> 00:18:20,619
than whole 1.
231
00:18:21,540 --> 00:18:26,090
All these fractions, the
proper ones are smaller than a
232
00:18:26,090 --> 00:18:31,095
whole one. We haven't taken
all of the pieces 3/4. We've
233
00:18:31,095 --> 00:18:37,465
only taken 3 out of the four
161 out of the six, so that
234
00:18:37,465 --> 00:18:41,560
all smaller than a whole one
with improper fractions.
235
00:18:42,790 --> 00:18:45,052
They are all larger than one
236
00:18:45,052 --> 00:18:50,866
whole 1. So if we take three
over 2 for example, what we've
237
00:18:50,866 --> 00:18:52,896
actually got is 3 halfs.
238
00:18:54,790 --> 00:18:58,993
Oh, improper fractions can be
written in this form.
239
00:18:59,730 --> 00:19:05,466
All they can be written
as mixed fractions.
240
00:19:08,280 --> 00:19:12,753
So let's have a look
at our three halfs.
241
00:19:14,450 --> 00:19:19,078
And what we can do is put two
hearts together to make the
242
00:19:19,078 --> 00:19:25,392
whole 1. And we've got 1/2 left
over, so that can be written as
243
00:19:25,392 --> 00:19:26,976
one and a half.
244
00:19:28,040 --> 00:19:32,324
So there are exactly the same,
but written in a different form
245
00:19:32,324 --> 00:19:34,109
1 as a mixed fraction.
246
00:19:34,620 --> 00:19:39,714
And one other top heavy
fraction, an improper fraction
247
00:19:39,714 --> 00:19:44,242
where the numerator is larger
than the denominator.
248
00:19:46,390 --> 00:19:48,202
Let's have a look at another
249
00:19:48,202 --> 00:19:53,906
example. Let's say we
had 8 thirds.
250
00:19:53,910 --> 00:19:55,238
This out the way.
251
00:19:56,780 --> 00:20:00,320
Let's count
252
00:20:00,320 --> 00:20:05,790
out 1234567.
8 thirds
253
00:20:06,900 --> 00:20:11,047
How else can we write that?
How do we write that as a
254
00:20:11,047 --> 00:20:11,685
mixed fraction?
255
00:20:13,110 --> 00:20:16,140
Well, what we're looking
for is how many whole ones
256
00:20:16,140 --> 00:20:17,049
we've got there.
257
00:20:18,310 --> 00:20:22,398
Well, if something's been
divided into 3 pieces.
258
00:20:23,420 --> 00:20:26,150
It takes 3 pieces to make the
259
00:20:26,150 --> 00:20:28,760
whole 1. So that's one whole 1.
260
00:20:30,510 --> 00:20:34,026
There we have another whole 12.
261
00:20:34,890 --> 00:20:42,114
And we've got 2/3 left over,
so 8 thirds is exactly the
262
00:20:42,114 --> 00:20:45,124
same as two and 2/3.
263
00:20:48,770 --> 00:20:50,710
Let's look at one more.
264
00:20:51,710 --> 00:20:55,485
Let's say we had Seven
265
00:20:55,485 --> 00:21:00,999
quarters. Now we know that there
are four quarters in each hole,
266
00:21:00,999 --> 00:21:06,446
one. So we see how many fours go
into Seven. Well, that's one.
267
00:21:06,960 --> 00:21:13,080
And we've got 3 left over, so
we've got one and 3/4.
268
00:21:14,180 --> 00:21:16,784
Let's have a look at one more.
269
00:21:18,090 --> 00:21:21,300
37 tenths
270
00:21:22,920 --> 00:21:27,892
Now we've split something up
into 10 pieces of equal size.
271
00:21:28,930 --> 00:21:34,030
So we need 10 of those to make a
whole one, so we need to see how
272
00:21:34,030 --> 00:21:37,030
many 10s, how many whole ones
there are in 37.
273
00:21:38,130 --> 00:21:43,267
Well, three 10s makes 30, so
that's three whole ones, and
274
00:21:43,267 --> 00:21:47,937
we've got 7 leftover, so we've
got 3 and 7/10.
275
00:21:49,020 --> 00:21:52,426
Just move
276
00:21:52,426 --> 00:21:59,202
those. Now let's have
a look at doing the reverse
277
00:21:59,202 --> 00:22:05,676
process. So if we start with a
mixed fraction, how do we turn
278
00:22:05,676 --> 00:22:08,166
it into an improper fraction?
279
00:22:08,740 --> 00:22:11,902
Let's look at three and a
280
00:22:11,902 --> 00:22:16,498
quarter. And if we look at this
visually, we've got.
281
00:22:17,170 --> 00:22:18,658
3 hole once.
282
00:22:20,540 --> 00:22:23,870
And one quarter.
283
00:22:27,500 --> 00:22:29,432
And what we want to turn it
284
00:22:29,432 --> 00:22:33,599
into. Is all
quarters.
285
00:22:34,640 --> 00:22:36,470
So we have a whole 1.
286
00:22:37,360 --> 00:22:43,769
And if we split it into
quarters, we know that a whole 1
287
00:22:43,769 --> 00:22:45,248
needs four quarters.
288
00:22:45,770 --> 00:22:47,280
So we have four there.
289
00:22:47,810 --> 00:22:49,118
Another for their.
290
00:22:49,680 --> 00:22:52,680
Another folder plus this one.
291
00:22:53,310 --> 00:22:56,124
So we've got three force or 12.
292
00:22:56,640 --> 00:23:04,032
Plus the one gives us 13
quarters, so 3 1/4 is exactly
293
00:23:04,032 --> 00:23:07,112
the same as 13 quarters.
294
00:23:07,660 --> 00:23:12,423
Well, let's have a look at how
you might do this.
295
00:23:14,000 --> 00:23:15,500
If you haven't got the visual
296
00:23:15,500 --> 00:23:21,500
aid. Well, what we've actually
got here is our whole number.
297
00:23:22,550 --> 00:23:23,639
And the fraction.
298
00:23:24,240 --> 00:23:25,940
We wanted in quarters.
299
00:23:27,070 --> 00:23:30,686
So what we're doing
is right it again.
300
00:23:31,920 --> 00:23:36,550
We're actually saying We want
four quarters for every hole
301
00:23:36,550 --> 00:23:39,791
one, so we've got three lots of
302
00:23:39,791 --> 00:23:44,910
four. And then what were
ranting on is our one, and
303
00:23:44,910 --> 00:23:46,378
these are all quarters.
304
00:23:47,600 --> 00:23:51,425
So it's the whole number
multiplied by the denominator.
305
00:23:52,460 --> 00:23:56,930
We've added the extra that
we have here. Whatever this
306
00:23:56,930 --> 00:24:01,400
number is, and those are the
number of quarters we've
307
00:24:01,400 --> 00:24:07,211
got. So we've got our 3/4 of
12 + 1/4, so 13 quarters.
308
00:24:08,940 --> 00:24:10,956
Let's have a look at one more
309
00:24:10,956 --> 00:24:16,478
example. Let's say we've got
five and two ninths.
310
00:24:18,310 --> 00:24:21,086
We want to turn it
into this format.
311
00:24:22,360 --> 00:24:28,632
Ninths well, if we want to take
a whole one, we wouldn't need 9
312
00:24:28,632 --> 00:24:34,904
ninths and we've got five whole
ones, so we're going to have 5 *
313
00:24:34,904 --> 00:24:37,592
9 lots of 9th this time.
314
00:24:38,250 --> 00:24:42,660
And then we need to add on the
two nights that we have here.
315
00:24:42,670 --> 00:24:50,530
So 5 nines of 45 plus
the two and that all 9th.
316
00:24:50,530 --> 00:24:53,805
So we have 47 ninths.
317
00:24:57,170 --> 00:25:00,734
Any whole number can be written
as a fraction.
318
00:25:01,270 --> 00:25:04,078
So for example, if we take
the number 2.
319
00:25:05,930 --> 00:25:10,097
If we write it with the
denominator of one.
320
00:25:11,580 --> 00:25:13,860
We've written it as a fraction.
321
00:25:15,050 --> 00:25:20,143
And any equivalent form, so we
could have 4 over 2.
322
00:25:20,770 --> 00:25:24,370
30 over
323
00:25:24,370 --> 00:25:31,193
15. And so on.
So any whole number can be
324
00:25:31,193 --> 00:25:35,963
written as a fraction with a
numerator and a denominator.
325
00:25:37,560 --> 00:25:45,186
So fractions.
They can appear in a number
326
00:25:45,186 --> 00:25:50,460
of different forms. You might
see proper fractions, improper
327
00:25:50,460 --> 00:25:52,218
fractions, mixed fractions.
328
00:25:53,060 --> 00:25:57,272
And you can see lots of
different equivalent fractions.
329
00:25:57,870 --> 00:26:00,255
So that all different
ways that we see them.