# How do you divide #-\frac { 5} { 2} \div \frac { 5} { 7} #?

##### 2 Answers

#### Explanation:

First, let's throw the negative out and just look at how the fractions are set up.

Isn't

If we go by that, then we can use a rather handy fractional algebraic rule which says:

So in reality...all we're doing is cross multiplying!

**To set up your particular problem though (with the negative)...**

(that negative is really in the numerator, so its the same as saying -5 * 7 divided by 2 * 5)

Doing this will get you an answer of

**There is a slightly quicker way though...**

**Anytime you have common terms on the top or bottom, you can cancel them out!**

Hope this helps!

#### Explanation:

Divide:

When dividing by a fraction, you invert it and multiply.

Simplify.

Simplify by dividing the numerator and denominator by