Question

Prove the sum of two rational numbers is rational where a, b, c, and d are integers, and b and d cannot be zero.

Steps:
a/b + c/d is given.
(ad/bd) + (cb/bd) is obtained.
(ad + cb)/bd is the result after simplifying.
What is the missing reason in the proof?
Multiply to get a common denominator.
Add to get a common denominator.
Distribute d to all terms.
Add d to all terms.

Answer 1

To prove the sum of two rational numbers is rational, you can follow these steps: multiply the denominators together, multiply the numerators to find a common denominator, add the resulting numerators, and simplify the fraction.

Step-by-step explanation:

In order to prove that the sum of two rational numbers is rational, we can follow these steps:

By following these steps, we can see that the result is still a fraction with integers in both the numerator and denominator, which means it is a rational number.