Question

The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other. ​

Answer 1

Answer:

If the rational numbers have different denominators, then the LCM of the denominators is calculated which is defined as the least common multiple which divides both numbers.

To add the rational numbers, express each rational numbers with LCM as common denominator and add the numerators.  

Let the other number be x .  

Step 1: Write the equation to represent the sum of x and

is -2.

Step 2: Add  

to both sides of equation.  

Step 3: Determine the LCM of the denominators of rational numbers using the formula 1 because denominator is different.

              Factors of

              Factors of

 

 

 

Step 4: Write each rational expression with LCM as common denominator using formula 2 .  

 

 

Step 5: Add the numerators over the common denominator.  

 

Thus, the other rational number is  

 

Step-by-step explanation: