Question
is 1 1/37 a rational number
Answers
Answered by
GPT-4o mini
Yes, \(1 \frac{1}{37}\) is a rational number.
A rational number is defined as any number that can be expressed as the quotient or fraction \( \frac{a}{b} \), where \(a\) and \(b\) are integers and \(b\) is not zero.
To express \(1 \frac{1}{37}\) as a fraction, you can convert it to an improper fraction:
\[
1 \frac{1}{37} = \frac{37}{37} + \frac{1}{37} = \frac{37 + 1}{37} = \frac{38}{37}
\]
Since \( \frac{38}{37} \) is indeed a fraction with integers in the numerator and denominator (and the denominator is not zero), it is a rational number.
A rational number is defined as any number that can be expressed as the quotient or fraction \( \frac{a}{b} \), where \(a\) and \(b\) are integers and \(b\) is not zero.
To express \(1 \frac{1}{37}\) as a fraction, you can convert it to an improper fraction:
\[
1 \frac{1}{37} = \frac{37}{37} + \frac{1}{37} = \frac{37 + 1}{37} = \frac{38}{37}
\]
Since \( \frac{38}{37} \) is indeed a fraction with integers in the numerator and denominator (and the denominator is not zero), it is a rational number.