Final answer:
Mr. Lim throws away 2 out of 8 pieces of a bamboo pole, thus the unpainted fraction is 2/8, which simplifies to 1/4 of the bamboo.
Step-by-step explanation:
Mr. Lim cut a bamboo pole into eight equal parts and discarded two, leaving six parts that he painted red. To determine the fraction of the bamboo that was not painted, we need to account for the parts thrown away.
Since he threw away two parts out of the original eight, the fraction of the bamboo that was not painted is the fraction representing the two unpainted parts out of the eight total parts. Therefore, the fraction that was not painted is 2/8, which simplifies to 1/4.
To find out what fraction of the bamboo was not painted, we need to determine how many parts were painted and how many parts in total there were.
Mr. Lim cut the bamboo into eight equal parts. He threw away 1 part (the two ends) and painted 6 of the remaining parts red. So, there were 8 - 1 - 6 = 1 part that was not painted.
The fraction of the bamboo that was not painted is therefore 1/8.