Answer: The fraction of the bag that left is \(\dfrac{5}{12}.\)
Step-by-step explanation: Given that there is a \(\dfrac{2}{3}\) of a bag of jelly jeans and Danny ate \(\dfrac{1}[4}\) of the bag last night.
We are to find the fraction of the bag that left.
Let A be the fraction of the bag that is full of jelly beans and B be the fraction of the bag that Danny ate last night.
Then, according to the given information, we have
\(A=\dfrac{2}{3},~~~B=\dfrac{1}{4}.\)
Therefore, the fraction of the bag that left is given by
\(L=A-B=\dfrac{2}{3}-\dfrac{1}{4}=\dfrac{8-3}{12}=\dfrac{5}{12}.\)
Thus, the fraction of the bag that left is \(\dfrac{5}{12}.\)
