Question

The total amount of water a tank can hold is (14)1/2 gallons. Raul wants to find out how many (1)1/4 gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Check all that apply.

Answer 1

Y= (14)1/4 ÷ (1)1/4
Tank divide by bucket

Answer 2

Step-by-step explanation:

We have been given that the total amount of water a tank can hold is  $14\frac{1}{2}$ gallons.

To find the number of $1\frac{1}{4}$ gallon buckets of water can be used to fill the tank we will divide the total amount of water in the tank by amount of water in one bucket.  

$\text{Number of water buckets used}=\frac{\text{Total amount of water in the tank}}{\text{Amount of water in one bucket}}$

Upon substituting our given values we will get,

$\text{Number of water buckets used}=\frac{14\frac{1}{2} }{1\frac{1}{4}}$

$\text{Number of water buckets used}=\frac{\frac{29}{2} }{\frac{5}{4}}$

Dividing a fraction with another fraction is same as multiplying the reciprocal of second fraction with the first fraction.  

$\text{Number of water buckets used}={\frac{29}{2}}\times {\frac{4}{5}}$

Therefore, all the above expressions can be used to find the number of $1\frac{1}{4}$ gallon buckets of water will be needed to fill the tank.