What's the difference between 1261⁄4 and 78 2⁄3?

A. 58 5⁄12

B. 48 1⁄3

C. 47 7⁄12

D. 57 7⁄12

So we want to know the difference between a = 126 1/4 and b = 78 2/3. Lets turn them into a fraction: a = 124*4 + 1/4 = 496/4 + 1/4 = 495/4. b = 78*3 + 2/3 = 234/3 + 2/3 = 236/3. Now we find the common denominator of a and b: and that is 12. so lets multiply a by 3/3 and b by 4/4: (495/4) * (3/3) = 1485/12. (236/3) * (4/4) = 944/12. Now the difference is: 1485/12 - 944/12=541/12 and that is: 45 1/12