Final answer:
To solve 12 divided by 3/4, multiply 12 by the reciprocal of 3/4, which is 4/3, resulting in 48/3, and simplifying to 16. Hence, the correct answer is 16.
Step-by-step explanation:
To solve the mathematical expression 12 divided by 3/4 using the partition method, one needs to understand how division of fractions operates. The division of a number by a fraction is equivalent to multiplying the number by the reciprocal of the fraction. In this case, the reciprocal of 3/4 is 4/3. The partition method then breaks down as follows:
- Multiply 12 by the reciprocal of 3/4, which is 4/3.
- To multiply 12 by 4/3, multiply 12 by 4 to get 48.
- Then divide the product by 3 to obtain the final answer.
Thus, 12 divided by 3/4 becomes 12 * 4/3, leading to 48/3, which simplifies to 16. Therefore, the correct answer is (a) 16.