61/4 - (-2 1/8)
( negative one over four minus two one eights)

(-4 1/8)

Step-by-step explanation:

-6 1/4 - (-2 1/8)          The subtraction cancels out the subtraction.

-6 1/4 + 2 1/8            

-6 + 2 = -4                 The whole numbers are independent in this case.

1/4 + 1/8                     Find the least common multiple

Multiples:

4| 4_8_12

8| 8_16

8 is the least common multiple

4 goes into 8 twice so multiply the top and bottom by 2

4 * 2 = 8              1 * 2 = 2

-2/8 + 1/8 = -1/8

add that to -4