Question

Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar in a jar. She then pours 2 1/4 fluid ounces of the dressing into her salad. How much dressing remains in the jar?

Answer 1

Let
x--------------> 6 1/3 fluid ounces of oil------- > (18+1)/3=19/3
y--------------> 2 3/8 fluid ounces of vinegar------ > (16+3)/8=19/8
z-------------- > 2 1/4 fluid ounces of the dressing into her salad----- > (8+1)/4=9/4

dressing remains in the jar=x+y-z=(19/3)+(19/8)-9/4=(8*19+3*19-6*9)/24
dressing remains in the jar=(152+57-54)/24=155/24 ounces

the answer is 155/24 ounces

Answer 2

1. First, we must sum the 6 1/3 fluid ounces of oil and the 2 3/8 fluid ounces of vinegar that Dakota mixed in the jar.

2. Let's convert the fractional parts of the mixed numbers into fractions with the same denominator:

=6 1/3 ounces + 2 3/8 ounces
=6 8/24 ounces + 2 9/24 ounces
=8 17/24 ounces

3. Let's subtract 2 1/4 fluid ounces that she poured into the salad (The fractional parts must have the same denominator):

=8 17/24 ounces - 2 1/4 ounces
=8 17/24 ounces - 2 6/24 ounces
=6 11/24 ounces

How much dressing remains in the jar?

The answer is: 6 11/24 ounces