Question 55

The result of adding 5 1/3 + 3 1/2 is 8 5/6.

To find the sum of 5 1/3 and 3 1/2, we convert both mixed numbers to improper fractions, add them, and then convert back to a mixed number. The addition results in 8 5/6.

A) 8 1/6

This option is incorrect because it underestimates the total. When calculating the sum of 5 1/3 (which is 16/3) and 3 1/2 (which is 7/2), the resulting improper fraction is 53/6, which converts to 8 5/6, not 8 1/6.

B) 8 2/3

This choice is also incorrect. The calculation yields a total that is greater than 8 2/3. Specifically, the sum of 5 1/3 and 3 1/2 results in 53/6, which simplifies to 8 5/6, thereby exceeding 8 2/3.

C) 8 5/6

This is the correct answer. After converting both mixed numbers to improper fractions and finding a common denominator, the addition produces the sum of 53/6, which correctly simplifies to 8 5/6.

D) 9 1/6

This option is incorrect as it overestimates the sum. The correct total after performing the addition is 8 5/6, which is less than 9 1/6. The calculations confirm that the proper result does not reach this value.

Conclusion

The correct result of adding 5 1/3 and 3 1/2 is 8 5/6, which is derived from proper fraction addition and conversion back to a mixed number. All other options either underestimate or overestimate the total, confirming that option C is definitively accurate based on the calculations performed.