Final answer:
In this Mathematics question at a Middle School level, Queenie starts with 3 1/2 cups of fruit juice and after drinking 1 1/8 cups, she has 2 3/8 cups left. This involves subtraction of mixed numbers and conversion to improper fractions.
Step-by-step explanation:
The subject of this question is Mathematics, and it is appropriate for a Middle School grade level. The student is asking about subtracting mixed numbers. Queenie has 3 1/2 cups of fruit juice and drinks 1 1/8 cups of it. To find out how much juice is left, we need to subtract the mixed numbers.
Here is the step-by-step calculation:
- First, write the given quantities in an equation form: 3 1/2 - 1 1/8
- Convert both mixed numbers into improper fractions: (3 \u00d7 2 + 1)/2 = 7/2 and (1 \u00d7 8 + 1)/8 = 9/8
- Find a common denominator, which is 8 in this case, and rewrite the fractions: 7/2 becomes 28/8 and 9/8 remains the same
- Now subtract the second fraction from the first: 28/8 - 9/8 = 19/8
- Convert 19/8 back into a mixed number, which is 2 3/8 (since 8 goes into 19 twice, with a remainder of 3)
So, Queenie has 2 3/8 cups of fruit juice left.