Respuesta :

wolf1728
2/3 = 8/12
1/4 = 4/12

You start with 8/12 and eat 4/12 so 4/12 (or one quarter) remains.

Answer:  The fraction of the bag that left is [tex]\dfrac{5}{12}.[/tex]

Step-by-step explanation:  Given that there is a [tex]\dfrac{2}{3}[/tex] of a bag of jelly jeans and Danny ate [tex]\dfrac{1}[4}[/tex] 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

[tex]A=\dfrac{2}{3},~~~B=\dfrac{1}{4}.[/tex]

Therefore, the fraction of the bag that left is given by

[tex]L=A-B=\dfrac{2}{3}-\dfrac{1}{4}=\dfrac{8-3}{12}=\dfrac{5}{12}.[/tex]

Thus, the fraction of the bag that left is [tex]\dfrac{5}{12}.[/tex]

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