Question

Stephanie has 2 1/4 cups of milk on hand and makes 2 batches of cookies, using 2/3 cups of milk for each batch of cookies. Which of the following describes the amount of milk remaining after she makes the cookies?*

Less than 1/2 cup
Between 1/2 cup and 3/4 cup
Between 3/4 cup and 1 cup
Between 1 cup and 1 1/2 cups
More 1 1/2 cup

Answer 1

Between 3/4 cup and 1 cup

Explanation:

First find your total amount of milk used 2/3 x 2 = 4/3cups

Make you amount of milk available into an improper fraction = 9/4

Now make common denominators 3 x 4 =12

So multiply both the denominator and numerator by 4 for 4/3 so it be comes 16/12

and for 9/4 multiply them both by 3 so it is now 27/12

Now subtract 16/12 from 27/12

27/12 - 16/12 = 11/12

11/12 is less than 1 cup but more than 3/4cup