Answer: 3 13/24
Explanation:
When the term "evaluate" is in a question you are being asked to perform the operation, in this case subtraction of fractions.
Note that these are mixed number fractions, meaning there is a whole number with a fraction.
7 1/6 - 3 5/8
Step 1: Convert the mixed fractions to improper fractions.
For 7 1/6 take 7 x 6 = 42. Take 42 + 1 = 43
7 1/6 becomes 43/6
For 3 5/8 take 3 x 8 = 24. Take 24 + 5 = 29
3 5/8 becomes 29/8
Step 2: Arrange the improper fractions into the subtraction problem.
43/6 - 29/8
Step 3: Find the least common denominator for 6 and 8, which is 24.
43/6 (4/4) - 29/8 (3/3) =
172/24 - 87/24 = 85/24
Step 4: Turn the improper fraction into a mixed fraction.
Divide 85 by 24, which equals 3 13/24.