Question

a bag of dog food weighs 31 and a quarter pounds after one week 3 and 1/8 pound of dog food was used what fraction of the dog bag of dog food remains

Answer 1

In order to convert a Mixed number to an Improper fraction, you can follow these steps:

1. Multiply the Whole number by the denominator of the fraction.

2. Add the product to the numerator of the fraction.

3. Use the original denominator.

Then:

`\begin{gathered} 31(1)/(4)=((31\cdot4)+1)/(4)=(125)/(4) \\ \\ 3(1)/(8)=((3\cdot8)+1)/(8)=(25)/(8) \end{gathered}`

Then, you know that the weight in pounds of a bag of dog foods is:

`(125)/(4)`

After one week the amount of dog food, in pounds, was:

`(25)/(8)`

Therefore, you can set up the following expression to find the fraction of the bag of dog food that remains:

`(125)/(4)lb-(25)/(8)lb`

Finally, evaluating, you get:

`=(225)/(8)lb`

The answer is:

`(225)/(8)`