Question 2

3(1/2) * 2(1/3) = 8(1/6)

The product of 3(1/2) and 2(1/3) results in 8(1/6), demonstrating the correct multiplication of mixed numbers and fractions.

A) 8(1/6)

This option is correct. To find the product, first convert the mixed numbers to improper fractions: 3(1/2) becomes 7/2 and 2(1/3) becomes 7/3. Multiplying these fractions yields (7/2) * (7/3) = 49/6, which can be converted back to a mixed number as 8(1/6).

B) 7(5/6)

This option is incorrect. While it is close to the correct answer, multiplying 3(1/2) and 2(1/3) does not yield 7(5/6). Instead, this result would suggest a different calculation that does not align with the product of the given mixed numbers.

C) 6(1/6)

This option is incorrect. The product of 3(1/2) and 2(1/3) is not equal to 6(1/6). The correct calculation results in a higher value, confirming that this option does not correctly represent the multiplication of the mixed numbers.

D) 5(5/6)

This option is also incorrect. The multiplication of 3(1/2) and 2(1/3) exceeds the value of 5(5/6). Therefore, this option misrepresents the outcome of the multiplication, as it is less than the actual result.

Conclusion

The answer 8(1/6) is definitively correct as it accurately reflects the multiplication of 3(1/2) and 2(1/3) after converting to improper fractions. All other options fail to represent the correct outcome, demonstrating misconceptions in the multiplication process of mixed numbers and fractions.