# Thread: Inequality symbol and fraction - Can someone help me learn how to divide fractions?

1. ## Inequality symbol and fraction - Can someone help me learn how to divide fractions?

The problem is this:

-6x>1/13

I know that I need to divide both sides by -6 to get the answer for X.

-6x>1/13

How do I divide 1/13 by 6

Please show me how division works with fractions that I can figure this out in the future as well.

2. To divide by 6 is equal with multiplying by 1/6:

$-6x>\frac{1}{13}$

$-x >\frac{1}{13}*\frac{1}{6}$

3. Originally Posted by OneidaFL
The problem is this:

-6x>1/13

I know that I need to divide both sides by -6 to get the answer for X.

-6x>1/13

How do I divide 1/13 by 6

Please show me how division works with fractions that I can figure this out in the future as well.
Hi OneidaFL,

You also need to know that when you divide (or multiply) an inequality by a negative number, you must reverse the order of the inequality.

$-6x>\dfrac{1}{13}$

An easier way to solve this would be to multiply all terms by 13. Then divide.

$-78x>1$

$x<-\dfrac{1}{78}$

4. ## Pooint, question for you

Originally Posted by p0oint
To divide by 6 is equal with multiplying by 1/6:

$-6x>\frac{1}{13}$

$-x >\frac{1}{13}*\frac{1}{6}$
When dividing by a negative number don't you have to reverse the > to a < symbol?

5. Originally Posted by OneidaFL
When dividing by a negative number don't you have to reverse the > to a < symbol?
Yes, but $\frac{1}{6}$ is positive, the negative sign remained on the LHS at the point we are talking about.