Ezra made 4 1/2 pounds of trail mix. If he puts 9/10 of a pound into each bag, how many bags can Ezra fill?
9/2 * 10/9 = 5 bags
OR
4 1/2 = 4.5
9 / 10 = 0.9
4.5 / 0.9 = 45 / 9 = 5
To find out how many bags Ezra can fill, we need to divide the total weight of the trail mix by the weight of each bag.
First, let's convert 4 1/2 pounds to an improper fraction. Since there are 2 halves in 1 whole, we can rewrite 4 1/2 as 9/2.
So, Ezra made 9/2 pounds of trail mix.
Next, we divide the total weight of the trail mix by the weight of each bag:
(9/2 pounds of trail mix) ÷ (9/10 of a pound per bag)
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction:
(9/2 pounds of trail mix) * (10/9 pounds per bag)
Now, we can simplify the expression by canceling out common factors:
(9 * 10) / (2 * 9)
This becomes:
90 / 18
And finally, dividing 90 by 18 gives us the answer:
5
Therefore, Ezra can fill 5 bags with trail mix.