What is the product of the reciprocals of 2/3, 1/8, and 5?

To determine the product of the reciprocals of the fractions 2/3, 1/8, and the whole number 5, we first need to find the reciprocals of each of these values.

The reciprocal of a fraction is obtained by flipping the numerator and the denominator. For 2/3, the reciprocal is 3/2. For 1/8, the reciprocal is 8/1, which is simply 8. The reciprocal of 5 is 1/5.

Now, to find the product of these reciprocals, we multiply them together:

Product = (3/2) * 8 * (1/5).

We can simplify this step by step:

1. Multiply 3/2 by 8: (3/2) * 8 = 3 * 8 / 2 = 24 / 2 = 12.

2. Now multiply this result by 1/5: 12 * (1/5) = 12 / 5.

At this point, we have the product of the reciprocals as 12/5. To find a simpler fractional representation, we can convert it into a form that matches the provided answer choices.