What is the result of adding 5 1/3 + 3 1/2?

Rationale

8 5/6 is the result of adding 5 1/3 and 3 1/2.

To add the mixed numbers 5 1/3 and 3 1/2, first convert them to improper fractions: 5 1/3 becomes 16/3 and 3 1/2 becomes 7/2. Finding a common denominator (which is 6), we convert both fractions to 32/6 and 21/6, respectively, and when summed, they equal 53/6, which converts back to the mixed number 8 5/6.

A (8 1/6) YOUR ANSWER

This choice results from an incorrect calculation of the fractions. If you mistakenly add the whole numbers separately (5 + 3 = 8) and then add the fractions (1/3 + 1/2), you might miscalculate the fractional sum, leading to an incorrect total.

B (8 2/3) YOUR ANSWER

This option may arise from a miscalculation in converting the fractions. If 1/3 and 1/2 are added incorrectly (for example, mistakenly using a common denominator of 3 instead of 6), you might incorrectly determine that their sum leads to this mixed number.

C (8 5/6) CORRECT

This is the accurate answer derived from the correct addition of 5 1/3 and 3 1/2, following proper steps to convert to improper fractions, find a common denominator, and then sum them correctly.

D (9 1/6) YOUR ANSWER

Choosing this option suggests an overestimation in the addition process. A common error could involve incorrectly adding the whole numbers and fractions, resulting in a total that exceeds the actual calculation, as it does not account for the correct sum of the fractional parts.

Conclusion

In summary, adding the mixed numbers 5 1/3 and 3 1/2 correctly results in 8 5/6. Each incorrect option stems from miscalculations in either fractional addition or whole number summation. Understanding the proper steps, including converting mixed numbers to improper fractions and finding a common denominator, is essential for achieving the correct result.

What is the result of adding 5 1/3 + 3 1/2?

8 5/6 is the result of adding 5 1/3 and 3 1/2.

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