Answer:
[29 over 2 divided by 5 over 4] = 29/2 ÷ 5/4 (A)
[29 over 2 times 4 over 5] = 29/2 × 4/5 (C)
Explanation:
The total amount of water a tank can hold is 14 and one and one-half gallons = 14½
We are to determine the number of 1/4 gallon buckets of water that can be used to fill the tank.
To find this, we would divide 14½ by 1¼ = 14½ ÷ 1¼
Convert 14½ and 1¼ to improper fraction
14½ = [(14×2)+1]/2 = 29/2
1¼ = [(1×4)+1]/4 = 5/4
14½ ÷ 1¼ =29/2 ÷ 5/4
Then we find the inverse of ¼ to convert the division to multiplication
= 29/2 × 4/5 = 116/10
= 11.6
14½ ÷ ¼ = 11.6
Therefore 11.6 gallons of ¼ buckets of water can be used to fill the tank.
But the two expressions that could be used to represent this scenario to get the answer from the options = 29/2 ÷ 5/4 (A)
[29 over 2 divided by 5 over 4]
29/2 × 4/5 (C)
[29 over 2 times 4 over 5]