Answer:
First, we need to convert the mixed number to an improper fraction:
6 3/4 = (4 x 6 + 3)/4 = 27/4
Now we can divide:
45 ÷ 27/4 = 45 x 4/27 = 6.6666666...
Rounding to the nearest hundredth, we get:
6.67
Therefore, 45 divided by 6 3/4 is approximately 6.67.