Final answer:
To multiply 1 1/6 by 6/11, convert the mixed number to an improper fraction. Then, multiply the fractions and simplify the result.
Step-by-step explanation:
To multiply 1 1/6 by 6/11, we can convert the mixed number to an improper fraction:
1 1/6 = (6 * 1 + 1)/6 = 7/6
Now we can multiply the fractions:
7/6 * 6/11 = (7 * 6)/(6 * 11) = 42/66
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor:
42/66 = (2 * 3 * 7)/(2 * 3 * 11) = 1/11