00:01
In this problem, we're asked to evaluate the following complex fraction and simplify it as much as we can.
00:08
So we're going to start by rewriting this as a division problem.
00:13
So we're going to take negative 14 -15th, our numerator.
00:16
Instead of writing it as a fraction, we're going to write it as a division problem.
00:20
So instead of a fraction bar, we're going to have the division symbol divided by 7 -tenths denominator.
00:27
We know that when we are trying to divide two fractions, we actually have to multiply by the reciprocal.
00:36
So we're going to take negative 14th, 15th, and instead multiply by the reciprocal of 7 tenths, which is 10 over 7.
00:47
Okay, so then i'm going to check and see if there are any cross -simplification techniques that i can use.
00:55
And there are in both fractions or both numerators and denominators.
01:01
So i'm going to have 10 .15s.
01:04
I know that they both can be divided by a common factor of 5.
01:10
And also with negative 14 and 7, i know that they both have a common factor of 7.
01:18
So we're going to go ahead and do that cross -simplication...