# How do you divide #-5/7 div -35/-7#?

##### 1 Answer

Invert the denominator fraction and change the operation from division to multiplication and you end up with

#### Explanation:

This problem uses a rule of fractions - when dividing a fraction by another fraction, invert the denominator fraction and multiply. This will make way more sense by working through the problem!

We start with

So what we do is take the denominator fraction, the

Let's deal with all the negative signs first. There are 3 of them, each one is

So we know the answer will be negative.

Now let's focus on the rest of the problem. I'm going to ignore the negative signs (because we've just dealt with them) and recombine the expression a bit to make it easier to see how it is that we can simplify the equation:

Let's deal with the

The other fraction, the

Again, we can take

Let's recap. We had:

So the answer is a negative 1/7, or