Asked by s
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?
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?
Answers
Answered by
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.
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.