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:

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

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

$\frac{125}{4}$

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

$\frac{25}{8}$

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

$\frac{125}{4}lb-\frac{25}{8}lb$

Finally, evaluating, you get:

$=\frac{225}{8}lb$

The answer is:

$\frac{225}{8}$