What is the reciprocal of 3 - 1/5?

To find the reciprocal of the expression 3 - 1/5, we first need to simplify this expression.

Start by converting the whole number 3 into a fraction that has a common denominator with 1/5. We can express 3 as 15/5. Thus, we rewrite the expression:

3 - 1/5 = 15/5 - 1/5 = (15 - 1)/5 = 14/5.

Now that we have simplified the entire expression to 14/5, we will find its reciprocal. The reciprocal of a fraction is obtained by flipping the numerator and the denominator. Therefore, the reciprocal of 14/5 is 5/14.

Since you indicated that the answer was A (5/16), it seems there was a misunderstanding, as this fraction does not represent the reciprocal we have calculated.

Now, to clarify, the correct reciprocal of 3 - 1/5 is 5/14, which is not present among the options provided. It appears that the closest options offered might have led to confusion, but it is essential to arrive at the right simplifications and understand that the reciprocal should be derived from the correct fraction of 14/5 rather