Question 11

3,1/2 X 2,1/3 = 8,1/6

The multiplication of the mixed numbers 3,1/2 and 2,1/3 results in 8,1/6, which is the correct answer.

A) 8,1/6

This option is correct because when multiplying the fractions, 3,1/2 can be converted to 7/2 and 2,1/3 to 7/3. Multiplying these gives (7/2) * (7/3) = 49/6, which simplifies to 8,1/6.

B) 7,5/6

This option is incorrect as it does not reflect the correct calculation of the multiplication. 7,5/6 is equivalent to 47/6, which is less than the actual product of 49/6.

C) 6,1/6

This option is also incorrect. 6,1/6 equals 37/6, which is significantly lower than the product obtained from multiplying 3,1/2 and 2,1/3.

D) 5,5/6

This option is incorrect as well. 5,5/6 translates to 35/6, which does not match the product of the mixed numbers and is again less than the correct solution.

Conclusion

The correct answer, 8,1/6, accurately reflects the result of the multiplication of the two mixed numbers. All other options fail to represent the correct value derived from the calculations, confirming that they are not valid answers in this context.