Final answer:
A terminating decimal is a decimal number that ends after a certain number of decimal places. The fraction 41/40 is a terminating decimal because its denominator has only 2s and/or 5s as prime factors. The fractions 5/6, 3/11, and 11/3 are not terminating decimals due to their denominators not being able to be reduced to only 2s and/or 5s.
Step-by-step explanation:
A terminating decimal is a decimal number that ends, or terminates, after a certain number of decimal places. To determine if a fraction is a terminating decimal, you need to check its denominator. If the denominator has only 2s and/or 5s as prime factors, the fraction will be a terminating decimal.
In this case, the fraction 41/40 can be simplified by dividing both the numerator and the denominator by 10. This gives us 4.1/4, which is equal to 1.025. Since the denominator has only 2s and 5s as prime factors, 41/40 is a terminating decimal.
On the other hand, the fractions 5/6, 3/11, and 11/3 do not have denominators that can be reduced to only 2s and/or 5s. Therefore, they are not terminating decimals.
Learn more about terminating decimals