How much total pounds of candy does Sam have...1/2,1/4,1/2,1/4,1/8,1/8,1/4,1/2,1/8? How much would he have if he redistributed the candy into bags with equal amounts, how much candy would be in each bag?
Change all of these to equivalent fractions with a common denominator of 8.
Then add them together,
To find out the total pounds of candy Sam has and how much candy would be in each bag if he redistributed it equally, we need to add up the fractions and perform some calculations.
First, let's add up the fractions to find the total amount of candy:
1/2 + 1/4 + 1/2 + 1/4 + 1/8 + 1/8 + 1/4 + 1/2 + 1/8
To add these fractions, we need to find a common denominator. In this case, the common denominator is 8. So let's convert all the fractions to eighths:
4/8 + 2/8 + 4/8 + 2/8 + 1/8 + 1/8 + 2/8 + 4/8 + 1/8
Now we can add the numerators together:
(4 + 2 + 4 + 2 + 1 + 1 + 2 + 4 + 1)/8 = 21/8
So, the total amount of candy Sam has is 21/8 pounds.
To redistribute the candy equally, we need to divide 21/8 pounds by the number of bags we want to have. Let's assume we want to redistribute them into N bags.
The amount of candy in each bag would be (21/8) / N pounds.
So, the amount of candy in each bag would be (21/8) / N pounds.