Final answer:
To multiply 5 1/6 by 2/5, convert 5 1/6 to an improper fraction and multiply it with 2/5. Simplify the resulting fraction to get the final answer, which is 31/15.
Step-by-step explanation:
The question involves multiplication of fractions and mixed numbers. To multiply 5 1/6 by 2/5, first convert the mixed number to an improper fraction: (5 × 6 + 1)/6 = 31/6. Then, multiply the numerators and denominators of the fractions: (31/6) × (2/5). This results in 62/30, which can be simplified. To simplify the fraction, divide both numerator and denominator by the greatest common divisor, which in this case is 2: 62/2 = 31 and 30/2 = 15. Therefore, the simplified answer is 31/15, which is not listed as one of the options provided.