Question

is 2 1/5 a rational number

Answer 1

Yes, \( 2 \frac{1}{5} \) is a rational number. A rational number is defined as any number that can be expressed as the quotient of two integers, where the denominator is not zero.

To express \( 2 \frac{1}{5} \) as a rational number, you can convert it to an improper fraction:

\[
2 \frac{1}{5} = \frac{2 \times 5 + 1}{5} = \frac{10 + 1}{5} = \frac{11}{5}
\]

Since \( \frac{11}{5} \) is the quotient of two integers (11 and 5), \( 2 \frac{1}{5} \) is indeed a rational number.