00:01
We know that we have three numbers that when sum together equal 180.
00:05
So let's draw three places to remind ourselves that we're adding together three numbers.
00:10
Now it also tells us that two of these are the same and that they're both a third as large as our biggest number.
00:19
Let's call our largest number x.
00:21
That means these other two numbers are one -third x because they're a third as big.
00:28
So now we have an equation.
00:31
Let's sum together these three terms.
00:33
I have a third plus a third plus three over three, because this is really a one, and one is three over three.
00:40
Well, that's one and two thirds, x equals 180.
00:50
Now i'm going to turn this from a mixed number into an improper fraction.
00:54
Three times one is three plus two is five.
00:57
So i have five thirds of x is equal to a hundred and a number.
01:03
Now in order to get x alone, i'm going to multiply by the reciprocal of my fraction.
01:10
Now the reciprocal is when you flip it upside down.
01:12
So the reciprocal of five thirds is three -fifths.
01:14
Whenever you do to one side, you have to do to the other...