Now that you’ve created your hypotheses, it’s time to prove them. First, look at the sum of two rational numbers. Let’s say they
are two rational numbers, x and y. Because they’re rational, they can be written as a ratio of integers. Let x = a/b and y = c/d , where a, b, c, and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c, and d is shown. Based on this sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.
