To perform the arithmetic operation 2/3 x 8/1 x 1/5, the numerators are multiplied to get 16 and the denominators to get 15, resulting in 16/15, which simplifies to 1 1/15. The correct answer is not provided in the given options.
Step-by-step explanation:
Performing the Arithmetic Operation
To solve 2/3 x 8/1 x 1/5, we need to multiply these fractions together. Multiplication of fractions involves multiplying the numerators (top numbers) together and multiplying the denominators (bottom numbers) together. Let's do the calculations step by step:
Multiply the numerators: 2 x 8 x 1 = 16.
Multiply the denominators: 3 x 1 x 5 = 15.
Combine the results to form the new fraction: 16/15.
The final result, when simplified, is 1 1/15. This fraction cannot be reduced any further. Therefore, the correct answer is not listed among the options given in the question (a, b, c, or d).