8.45 = 8 45/100 = 8 9/20 = 169/20
A. 8 3/8 = 67/8
B. 8 4/9 = 76/9
C. 8 3/5 = 43/5
D. 8 5/12 = 101/12
The common denominator of all those fractions is 360, so we can write them as:
8.45 = 3042/360
A. 8 3/8 = 3015/360
B. 8 4/9 = 3040/360
C. 8 3/5 = 3096/360
D. 8 5/12 = 3030/360
As a mixed numbers:
8.45 = 8 162/360
A. 8 3/8 = 8 135/360
B. 8 4/9 = 8 160/360
C. 8 3/5 = 8 216/360
D. 8 5/12 = 8 150/360
Now we can easily see that only 8 216/360 is greater than 8 162/360. It means the correct answer is C: From the given mixed numbers, only 8 3/5 is greater than 8.45.
