negative 4/5 divided by 4

So to express that numerically would be:

 

-4/5 / 4

 

The easiest way to divide fractions is to multiply by the recipricol of the number which is being divided.

 

The recipricol is simply the fraction flipped upside down.

 

So for 4 (= 4/1), the recipricol is simply 1/4:

 

-4/5 * 1/4

 

Then the top and bottom of both fractions can be performed:

 

(-4*1) / (5*4)

 

The fours on the top and bottom can cancel out, leaving us with:

 

-1/5.

 

I would recommend checking out the relevant Math is Fun page.