Final answer:
To find the product of 6 x 3/4, multiply 6 by 3 to get 18 and then divide by 4 to get 4 1/2 or 4.5. The model representing this would depict 4.5 or 4 1/2 units.
Step-by-step explanation:
The question asks which model represents the product 6 x 3/4. To find this product, you can multiply 6 by the fraction 3/4. Here's the step-by-step calculation:
- Multiply the whole number 6 by the numerator of the fraction, which is 3. That gives you 6 x 3 = 18.
- Now, take that result and divide it by the denominator of the fraction, which is 4. So, you calculate 18 ÷ 4.
- The result of 18 divided by 4 is 4 with a remainder of 2, or as a mixed number, it's 4 1/2. Therefore, the product of 6 x 3/4 is 4.5 or 4 1/2.
In this case, the model that represents the product 6 x 3/4 could be a visual representation of 4.5 or 4 1/2 units, depending on the context the question is presented in (such as a number line, area model, etc.).