Final answer:
To find the sum of 6 3/8, 7 1/2, and 3 1/16, you first convert them to improper fractions, find a common denominator, add the numerators, and simplify. The sum is 16 15/16.
Step-by-step explanation:
To find the sum of 6 3/8 + 7 1/2 + 3 1/16, you need to add these mixed numbers. First, it's helpful to convert each mixed number to an improper fraction. For 6 3/8, convert 6 to 48/8 and add 3/8 to get 51/8. For 7 1/2, convert 7 to 14/2 and add 1/2 to get 15/2. For 3 1/16, convert 3 to 48/16 and add 1/16 to get 49/16.
Next, find a common denominator for these fractions. Since 8, 2, and 16 are all multiples of 16, we can use 16 as the common denominator. Convert 51/8 to 102/16 and 15/2 to 120/16. Now, you can add them:
Adding the numerators together gives 271/16, which is the sum in improper fraction form. To convert back to a mixed number, divide 271 by 16 to get 16 with a remainder of 15. So, the sum is 16 15/16.