0:00:00.499,0:00:06.040
Let's see if we can[br]write 0.15 as a fraction.

0:00:06.040,0:00:07.900
So the important[br]thing here is to look

0:00:07.900,0:00:10.550
at what place these[br]digits are in.

0:00:10.550,0:00:13.370
So this 1 right over here,[br]this is in the tenths place,

0:00:13.370,0:00:16.550
so you could view[br]that as 1 times 1/10.

0:00:16.550,0:00:20.590
This 5 right over here is[br]in the hundredths place,

0:00:20.590,0:00:23.700
so you could view[br]that as 5 times 1/100.

0:00:23.700,0:00:26.320
So if I were to rewrite[br]this, I can rewrite this

0:00:26.320,0:00:30.080
as the sum of-- this 1[br]represents 1 times 1/10,

0:00:30.080,0:00:33.480
so that would literally[br]be 1/10 plus--

0:00:33.480,0:00:36.860
and this 5 represents[br]5 times 1/100,

0:00:36.860,0:00:40.380
so it would be plus 5/100.

0:00:40.380,0:00:41.910
And if we want to[br]add them up, we

0:00:41.910,0:00:43.870
want to find a[br]common denominator.

0:00:43.870,0:00:45.890
The common denominator is 100.

0:00:45.890,0:00:49.480
Both 10 and-- the[br]least common multiple.

0:00:49.480,0:00:52.720
100 is a multiple[br]of both 10 and 100.

0:00:52.720,0:00:55.734
So we can rewrite this[br]as something over 100

0:00:55.734,0:00:59.516
plus something over 100.

0:00:59.516,0:01:00.640
This isn't going to change.

0:01:00.640,0:01:02.750
This was already 5/100.

0:01:02.750,0:01:04.650
If we multiply the[br]denominator here

0:01:04.650,0:01:07.894
by 10-- that's what we did;[br]we multiplied it by 10--

0:01:07.894,0:01:10.310
then we're going to have to[br]multiply this numerator by 10.

0:01:10.310,0:01:12.686
And so this is the[br]same thing as 10/100.

0:01:12.686,0:01:13.810
And now we're ready to add.

0:01:13.810,0:01:20.660
This is the same thing[br]as-- 10 plus 5 is 15/100.

0:01:20.660,0:01:23.010
And you could have done that[br]a little bit quicker just

0:01:23.010,0:01:23.860
by inspecting this.

0:01:23.860,0:01:26.109
You would say, look, my[br]smallest place right over here

0:01:26.109,0:01:27.260
is in the hundredths place.

0:01:27.260,0:01:29.590
Instead of calling this[br]1/10, I could call this

0:01:29.590,0:01:30.860
literally 10/100.

0:01:30.860,0:01:35.710
Or I could say this[br]whole thing is 15/100.

0:01:35.710,0:01:37.914
And now if I want to reduce[br]this to lowest terms,

0:01:37.914,0:01:40.330
we can-- let's see, both the[br]numerator and the denominator

0:01:40.330,0:01:42.030
are divisible by 5.

0:01:42.030,0:01:44.590
So let's divide them both by 5.

0:01:44.590,0:01:48.410
And so the numerator,[br]15 divided by 5, is 3.

0:01:48.410,0:01:51.800
The denominator, 100[br]divided by 5, is 20.

0:01:51.800,0:01:55.890
And that's about as[br]simplified as we can get.