Find the difference and write it in simplest form. Make sure to show all your work. 1/4 − 1/2 (2 points)

To find the difference between 1/4 and 1/2, we need to subtract 1/2 from 1/4.

1/4 - 1/2

Since the denominators are different, we need to find a common denominator. In this case, the least common denominator (LCD) is 4.

To convert 1/2 to have a denominator of 4, we multiply both the numerator and denominator by 2:

1/2 * (2/2) = 2/4

Now we can subtract:

1/4 - 2/4

Since the denominators are the same, we subtract the numerators:

1/4 - 2/4 = (1-2)/4 = -1/4

Therefore, the difference between 1/4 and 1/2 is -1/4.