Final answer:
3 9/20 rounded to the nearest half is 3, as 9/20 is closer to 0 than to 1/2.
Step-by-step explanation:
The question is asking us to round the number 3 9/20 to the nearest half.
To do this, we compare 9/20 to the nearest halves, which are 0/2, 1/2, or 2/2 (equivalent to 0, 1/2, or 1 when we talk about parts of a whole). Since 9/20 is less than 1/2 but more than 0, we round down.
Now, 0 out of 2 is simply 0, which means we do not need to increment the whole number part of 3 9/20 when rounding.
As a result, we conclude that 3 9/20 rounded to the nearest half is 3, because 9/20 is closer to 0 than to 1/2.