Final answer:
To find two rational numbers with denominators 11 and 13, respectively, and a sum of 7/143, we can set up an equation and find a common denominator.
Step-by-step explanation:
To find two rational numbers with denominators 11 and 13, respectively, and a sum of 7/143, we can set up the following equation:
1/11 + 1/13 = 7/143
To solve this equation, we need to find a common denominator for the fractions. The least common multiple (LCM) of 11 and 13 is 143. So we can rewrite the equation as:
13/143 + 11/143 = 7/143
Now we can combine the numerators:
24/143 = 7/143
Since the numerators are equal, we can see that the two rational numbers with denominators 11 and 13 that add up to 7/143 are 13/143 and 11/143.