Kira reasoned that 6 1/4 - 2 3/4 = 4 2/4 because the difference between 6 and 2 is 4 and the difference between 1/4 and 3/4 is 2/4. is kiras reasoning correct? explain why or why not. (need answer quick)

Yes, she is reasoning correct, because:

 6 1/4  and 2 3/4 are mixed fractions and you can substract them as it shown below:

 1. You must substract the fractional parts (which are: 1/4 and 3/4) of the mixed fractions. You can notice that the have the same denominator "4", so you only need write this denominaro and substract the numerators:

 = (1-3)/4=-2/4 

 When you simplify the result, you obtain:

 =-1/2

 Now, you must sum the integer parts:

 6-2=4

 Finally, you obtain:

 4 -1/2