3,1/2 X 2,1/3 =
A) 8,1/6 is the correct product of 3,1/2 and 2,1/3.
When multiplying mixed numbers, it's common to convert each number into an improper fraction first. For example, 3,1/2 becomes 7/2, and 2,1/3 becomes 7/3. The multiplication of these two fractions results in 49/6, which is an improper fraction equivalent to the mixed number 8,1/6.
7,5/6 is incorrect because it represents the product of 3,1/2 and 2,2/3 instead of 2,1/3. In this case, the conversion of 2,2/3 to an improper fraction would yield 8/3, rather than the correct 7/3. When multiplied with the 7/2 (equivalent to 3,1/2), the result would be 56/6, which simplifies to the mixed number 7,5/6.
6,1/6 is incorrect because it would be the result if you multiply 3,1/2 with 2, instead of 2,1/3. By changing 3,1/2 to the improper fraction 7/2 and multiplying it by 2 (or 2/1 in fraction form), you would get 14/2 or 6,1/6 as a mixed number.
5,5/6 is incorrect because it represents the product of 3,1/2 and 1,2/3 instead of 2,1/3. If 1,2/3 is converted to an improper fraction, it becomes 5/3. When multiplied with the 7/2 (equivalent to 3,1/2), the result would be 35/6, which simplifies to the mixed number 5,5/6.
In multiplication of mixed numbers, it is important to first convert each mixed number into an improper fraction. The product of 3,1/2 and 2,1/3, when calculated correctly, results in the mixed number 8,1/6. The other options (7,5/6, 6,1/6, and 5,5/6) are incorrect, as they represent the results of incorrect multiplication involving different numbers.
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