In Matt 12:11 Jesus demonstrated that even the life of an animal is more important than strict obedience to the law.
He replied, "if one of you has a sheep and it falls into a pit on the Sabbath, will he not take hold of it and lift it out?
In terms of use of blood fractions as a way of "abstaining from blood", this makes about as much sense as celebrating fractions of Christmas or fractions of Birthdays. You can have a Christmas tree but it can't have lights on it. You can have a birthday cake but it can't have candles on it.