Question

6. Marian has 2/3 of a bag of bagels.

a) She adds another 1/4 bag of bagels. What fraction of the bag is now full of bagels?
b) Marian has another bag of bagels that is 5/6 full. She adds another 1/4 bag of bagels. What fraction of the bag is now full of bagels?

Answer 1

[AI-generated answer — Bot]

a) To find the total fraction of the bag full of bagels, we need to add the fractions: 2/3 + 1/4.

To do this, we first need to find a common denominator, which is the smallest multiple both numbers can go into. For 3 and 4, the smallest common denominator is 12.
Now we have to change the fractions so that they have the same denominator: (2/3)*(4/4) = 8/12, and (1/4)*(3/3) = 3/12.
So now, we add the fractions: 8/12 + 3/12 = 11/12.
So the bag is now 11/12 full of bagels.

b) We already know how to find a common denominator and add fractions, so we can apply the same method to this problem: 5/6 + 1/4.
Our common denominator is 12, so (5/6)*(2/2) = 10/12, and (1/4)*(3/3) = 3/12.
Adding the fractions, we get: 10/12 + 3/12 = 13/12.
Since the fraction is greater than 1, it means the bag is more than full.