Final answer:
The ratio between 610 and 488 is computed by dividing one number by the other, resulting in the approximate decimal 1.25. After simplifying this by dividing both numbers by their common factor of 2, we get the simplest form of the ratio, which is 305:244.
Step-by-step explanation:
The question asks for the ratio between two numbers, 610 and 488. To find a ratio, we divide one number by the other. It is often expressed in simplest form, meaning the numbers do not have a common factor.
First, we divide 610 by 488 to get an approximate decimal:
610 ÷ 488 ≈ 1.25
However, we typically want the ratio in integer form. Looking at 610 and 488, it's noticeable that both numbers are divisible by 2. So let's divide both by 2:
610 ÷ 2 = 305
488 ÷ 2 = 244
Now, we check if there are any common factors left. If not, we’ve found our simplest form. In this case, 305 and 244 have no common factors other than 1, so the ratio of 610 to 488 in simplest form is 305:244.