Final answer:
To solve for r in the equation r - 5 1/6 = 10, we add 5 1/6 to both sides to get r = 15 1/6, which is not listed in the provided answer choices.
Step-by-step explanation:
The student asked the question: r - 5 1/6 = 10, what is the answer? To find the value of r, we need to isolate r on one side of the equation. This can be done by adding 5 1/6 to both sides of the equation.
First, convert the mixed number to an improper fraction: 5 1/6 = 31/6. Now, add this to both sides:
r - 5 1/6 + 5 1/6 = 10 + 5 1/6
r = 10 + 31/6
Convert 10 to a fraction that has a common denominator with 31/6: 10 = 60/6
Now, add the fractions:
r = 60/6 + 31/6 = 91/6
Finally, convert the improper fraction to a mixed number:
r = 15 1/6
Therefore, the value of r is 15 1/6, which is not one of the provided answer choices.