What is the result of adding 4/3 + 7/3?

Rationale

4/3 + 7/3 equals 3 2/3.

Adding the fractions 4/3 and 7/3 gives us 11/3, which can be converted to a mixed number. Dividing 11 by 3 results in 3 with a remainder of 2, making the final answer 3 2/3.

A (3 2/3) CORRECT

This choice is correct because when you add 4/3 and 7/3, you get (4 + 7)/3 = 11/3. Converting 11/3 into a mixed number gives 3 with a remainder of 2, leading to the result of 3 2/3.

B (1 5/6) YOUR ANSWER

This choice is incorrect because 1 5/6 is equivalent to 11/6. The sum of 4/3 (which is equal to 8/6) and 7/3 (which is equal to 14/6) results in 22/6 or 11/3, not 11/6. Therefore, this option does not match the correct sum.

C (2 1/3) YOUR ANSWER

This choice is incorrect because 2 1/3 converts to 7/3. The correct sum of 4/3 + 7/3 is 11/3, which is greater than 7/3. Thus, this option does not represent the result of the addition.

D (1 1/6) YOUR ANSWER

This choice is incorrect as 1 1/6 is equal to 7/6. Since the sum of 4/3 (or 8/6) and 7/3 (or 14/6) is 22/6 or 11/3, this value is significantly larger than 7/6.

Conclusion

The addition of 4/3 and 7/3 yields a sum of 11/3, which can be expressed as the mixed number 3 2/3. All other options present incorrect calculations or conversions of fractions, confirming that A is the only valid answer. Understanding how to add fractions and convert to mixed numbers is essential for accurate arithmetic operations.

What is the result of adding 4/3 + 7/3?

4/3 + 7/3 equals 3 2/3.

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