-4 1/4 divided by 1/2

-34/4    or -8 1/2

Step-by-step explanation:

First we want to put -4 1/4 so its all a fraction we do this by multiplying 4 to 4 and adding it to the 1 already in the fraction (We can ignore the sign and just add it to the fraction because the entire fraction is negative not just the 4). So we have -17/4

To divide fractions we use keep change flip it is an easier way to divide fractions with out making decimals. We keep the first fraction change the division into multiplication and flip the last fraction, in this case 1/2 becomes 2/1. Now we have

-17/4 * 2/1  

Our next step is to multiply the numerators together and the denominators together and then put it back in fraction form.

-17 * 2 = -34

4 * 1 = 4

Our final result is

-34/4        

Or if you need it as a mixed number you just divide the 34 into 4 as many times as you can and make that the whole number. 34 doesn't completely fit into 4 but 32 does so we have

-8 2/4      or simplified further

-8 1/2