Question
is 41/952 irrational
Answers
GPT-4o mini
To determine whether \( \frac{41}{952} \) is rational or irrational, we need to understand what qualifies a number as rational.
A number is considered **rational** if it can be expressed as the quotient of two integers, where the denominator is not zero. Conversely, numbers that cannot be expressed in this way are considered **irrational**.
Here, \( \frac{41}{952} \) is the ratio of the integer 41 to the integer 952, with the denominator not equal to zero. Since both 41 and 952 are integers and 952 is not zero, this means that \( \frac{41}{952} \) is indeed a rational number.
Therefore, the answer is that \( \frac{41}{952} \) is **rational**.
A number is considered **rational** if it can be expressed as the quotient of two integers, where the denominator is not zero. Conversely, numbers that cannot be expressed in this way are considered **irrational**.
Here, \( \frac{41}{952} \) is the ratio of the integer 41 to the integer 952, with the denominator not equal to zero. Since both 41 and 952 are integers and 952 is not zero, this means that \( \frac{41}{952} \) is indeed a rational number.
Therefore, the answer is that \( \frac{41}{952} \) is **rational**.