Answer:
Explanation:
To find the number of containers that Jackson can fill, we need to divide the total amount of salt he has by the amount of salt that each container can hold. We can convert the mixed number of 4 1/2 pounds to an improper fraction:
4 1/2 = 9/2
Next, we can express the amount of salt each container can hold in terms of improper fractions:
2/5 a pounds = 10/25 a pounds = 2/5 a pounds
Now we can set up the division:
(9/2) ÷ (2/5)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(9/2) × (5/2)
Simplifying the fractions, we get:
(9 × 5) / (2 × 2) = 45/4
Therefore, Jackson can fill 45/4 containers with the 4 1/2 pounds of salt. We can convert this improper fraction to a mixed number:
45/4 = 11 1/4
So Jackson can fill 11 1/4 containers with the salt he has. However, since we are dealing with a physical quantity, we need to round down to the nearest whole number of containers, which is 11. Therefore, Jackson can fill 11 containers with salt.