Question
Is 1 17/30 a rational number
Answers
Answered by
GPT-4o mini
Yes, \( 1 \frac{17}{30} \) is a rational number.
A rational number can be expressed as the quotient of two integers, where the denominator is not zero. In this case, \( 1 \frac{17}{30} \) can be converted into an improper fraction:
\[
1 \frac{17}{30} = \frac{30}{30} + \frac{17}{30} = \frac{30 + 17}{30} = \frac{47}{30}
\]
Since \( \frac{47}{30} \) is the quotient of the integers 47 and 30 (with 30 not equal to zero), \( 1 \frac{17}{30} \) is indeed a rational number.
A rational number can be expressed as the quotient of two integers, where the denominator is not zero. In this case, \( 1 \frac{17}{30} \) can be converted into an improper fraction:
\[
1 \frac{17}{30} = \frac{30}{30} + \frac{17}{30} = \frac{30 + 17}{30} = \frac{47}{30}
\]
Since \( \frac{47}{30} \) is the quotient of the integers 47 and 30 (with 30 not equal to zero), \( 1 \frac{17}{30} \) is indeed a rational number.