Final answer:
After rounding to the nearest half, 12/7 is approximately 1.5 and 15/3 is 5. Therefore, 15/3 is the greater fraction.
Step-by-step explanation:
To determine which fraction is greater between 12/7 and 15/3, we can use the method of rounding each fraction to the nearest half. First, let's consider the fraction 12/7.
Dividing 12 by 7 gives us approximately 1.71, which is closer to 1.5 when rounded to the nearest half. Now let's look at 15/3. Dividing 15 by 3 results in 5, which remains 5 when rounded to the nearest half (since it's already a whole number).
Now that we have rounded both fractions, we can easily compare them. The rounded value of 12/7 is 1.5 and for 15/3, it is 5. Clearly, 5 is greater than 1.5, therefore the fraction 15/3 is greater than 12/7.