54.9k views
5 votes
The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?

1 Answer

0 votes
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.
User GuyC
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories