00:01
Okay, so we have two fractions.
00:03
Let's write them as a over b and x over y.
00:05
A student claims that if both the numerator and the denominator of one fraction is greater than the numerator and denominator of another fraction, respectively, then the first fraction must be greater than the two.
00:19
So what we're saying mathematically here is if a is greater than x, so if the numerator of this is greater than the numerator of this, and b is greater than y, so the denominator here is greater than the denominator here.
00:35
Then a over b is greater than x over y.
00:38
So then a over b is greater than x over y.
00:43
So mathematically, this is the claim.
00:45
And this is false.
00:48
So this is false.
00:49
And we will come up with a quick canter example.
00:55
So we're going to take a equal 2 and x equal 1...