3 1/2 - 2 1/3 =

Rationale

3 1/2 - 2 1/3 = 7 5/6.

To perform the subtraction, we first convert both mixed numbers to improper fractions: 3 1/2 becomes 7/2 and 2 1/3 becomes 7/3. Finding a common denominator of 6, we rewrite the fractions as 21/6 and 14/6, respectively. Subtracting these gives us 7/6, which converts back to the mixed number 1 1/6, added to the 6 from the whole number, resulting in 7 5/6.

A (8 1/6) YOUR ANSWER

This choice suggests an incorrect sum, likely due to an error in the subtraction process. The calculation of 3 1/2 - 2 1/3 does not yield a result greater than 7, as confirmed by converting to improper fractions and finding the difference accurately.

B (7 5/6) CORRECT

This is the correct answer, resulting from the proper calculation of the difference between the two mixed numbers. After converting to improper fractions and finding a common denominator, the subtraction yields the correct final result.

C (6 1/6) YOUR ANSWER

This option indicates a miscalculation, potentially from failing to convert mixed numbers to improper fractions correctly or misapplying the subtraction process. The resulting value should be higher than 6 when accurately computed.

D (5 5/6) YOUR ANSWER

This choice reflects a significant error in the calculations, as it suggests a result far too low for the subtraction of 3 1/2 from 2 1/3. The result must be at least 1 whole number due to the larger initial mixed number.

Conclusion

The solution to 3 1/2 - 2 1/3 accurately evaluates to 7 5/6, demonstrating the importance of correctly converting mixed numbers to improper fractions and utilizing a common denominator. This correct approach ensures precise calculations and validates that 7 5/6 is the only reasonable outcome for this subtraction.

3 1/2 - 2 1/3 =

3 1/2 - 2 1/3 = 7 5/6.

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