Final answer:
To multiply 6 5/6 by 2, convert the mixed number to an improper fraction (41/6), multiply it by 2/1 to get 82/6, and simplify to get the final product of 41/3.
Step-by-step explanation:
To find the product of 6 5/6 and 2, first, we need to convert the mixed number into an improper fraction. The mixed number 6 5/6 can be written as the improper fraction 41/6. Now, to find the product, we multiply 41/6 by 2. Since 2 can be written as 2/1, we now have the following multiplication:
(41/6) × (2/1) = 82/6
After multiplying the numerators together (41 × 2 = 82) and the denominators (6 × 1 = 6), we get 82/6. The final step is to simplify the fraction if possible. Since 82 and 6 share a common factor of 2, we can simplify the fraction to 41/3, which is the simplified product.