Final answer:
To carry out the addition of rational numbers, find a common denominator by finding the least common multiple (LCM) of the denominators. Convert each rational number to an equivalent fraction with the common denominator. Finally, add the fractions together.
Step-by-step explanation:
To carry out the addition of rational numbers, we need to find a common denominator. Let's find the least common multiple (LCM) of the denominators of the given rational numbers: 33, 4, 4, and 22. The LCM is 132.
Now, we can convert each rational number to an equivalent fraction with the denominator 132:
- A) 4/33 = (4/33) * (4/4) = 16/132
- B) 22/4 = (22/4) * (33/33) = 726/132
- C) 33/4 = (33/4) * (33/33) = 1089/132
- D) 4/22 = (4/22) * (6/6) = 24/132
Now, we can add the fractions:
A) 16/132 + 726/132 + 1089/132 + 24/132 = 1855/132
The addition of the given rational numbers is 1855/132.
To add the fractions 4/33, 22/4, 33/4, and 4/22, it is usually necessary to find a common denominator. However, at the middle school level, converting each fraction to a decimal for easier computation could be an approach, but may not provide an exact answer.
To perform the addition of the given rational numbers, it is important to first convert each of them to a common denominator. The rational numbers we need to add are 4/33, 22/4, 33/4 and 4/22. To add these together, we first need to convert each fraction to have a common denominator, which is the least common multiple of the given denominators.
However, finding a common denominator for these particular fractions is complex and may not be necessary at the middle school level. One possible approach is to convert each fraction to decimal and add those decimals, as they can be handled more readily. However, keep in mind this might not give an exact answer as converting fractions to decimal often involves approximation.
You should confirm with your school, teacher, or coursework if you need to simplify your response to the lowest terms.
Learn more about Adding Rational Numbers