00:02
In this question we are dividing complex fractions.
00:06
We're trying to divide 5 sevenths by 4 ninths.
00:10
So first thing i'm going to do, i want to multiply by the reciprocal of the denominator.
00:17
In other words, we see the denominator is 4 ninths.
00:19
I want to multiply the numerator and the denominator by 9 fourths.
00:26
If i'm multiplying the numerator and the denominator by the same thing, that's just like multiplying by 1, which we are certainly allowed to do.
00:34
If i look at the denominator now, i'm taking 4 ninths times 9 fourths.
00:40
In other words, that gives me 36 over 36.
00:43
Or i could cancel these.
00:45
The 4's cancel, the 9's cancel, giving me 1 in the denominator.
00:50
So now it's just a matter of multiplying the numerator together...