In order to prove that the sum of two rational numbers, a and b, is rational, put the following steps in the correct order.

Question

Step 1. Identify the sum as rational.

Step 2. Find a common denominator.

Step 3. Write a and b as fractions.

Step 4. Add the fractions.
(1 point)
Responses

Step 1, Step 3, Step 4, Step 2
Step 1, Step 3, Step 4, Step 2
Step 1, Step 3, Step 2, Step 4
Step 1, Step 3, Step 2, Step 4
Step 2, Step 3, Step 4, Step 1
Step 2, Step 3, Step 4, Step 1
Step 3, Step 2, Step 4, Step 1

Answer 1

To prove that the sum of two rational numbers \( a \) and \( b \) is rational, the correct order of steps is:

1. Step 3: Write \( a \) and \( b \) as fractions.
2. Step 2: Find a common denominator.
3. Step 4: Add the fractions.
4. Step 1: Identify the sum as rational.

So the correct response is:

Step 3, Step 2, Step 4, Step 1