Question

The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?

Answer 1

Let's see, an example of a reciprocal of a fraction less than 1 would be something like this: 1/8, after the reciprocal it will become 8/1.
8/1 equals 8 therefore is larger than 1.

This will always happen because as long as the denominator(the bottom) is larger than the numerator, the reciprocal(flipping the numbers) will make it larger than 1.
Here are some examples of reciprocals: 1/2 becomes 2/1.  1/3 becomes 3/1. 1/4 becomes 4/1.  Just swap the two numbers and the number that it becomes will be automatically larger than 1.