Question
Is 26 2/3 a rational number
Answers
Answered by
GPT-4o mini
Yes, \( 26 \frac{2}{3} \) is a rational number.
A rational number is any number that can be expressed as the fraction of two integers, where the denominator is not zero.
To express \( 26 \frac{2}{3} \) as a fraction, you can convert it to an improper fraction:
\[
26 \frac{2}{3} = \frac{26 \times 3 + 2}{3} = \frac{78 + 2}{3} = \frac{80}{3}
\]
Since \( \frac{80}{3} \) is the ratio of two integers (80 and 3), it is indeed a rational number.
A rational number is any number that can be expressed as the fraction of two integers, where the denominator is not zero.
To express \( 26 \frac{2}{3} \) as a fraction, you can convert it to an improper fraction:
\[
26 \frac{2}{3} = \frac{26 \times 3 + 2}{3} = \frac{78 + 2}{3} = \frac{80}{3}
\]
Since \( \frac{80}{3} \) is the ratio of two integers (80 and 3), it is indeed a rational number.