Question

5 1/7 is a rational number

Answer 1

Yes, \( 5 \frac{1}{7} \) is a rational number. A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In this case, \( 5 \frac{1}{7} \) can be converted to an improper fraction:

\[
5 \frac{1}{7} = \frac{5 \times 7 + 1}{7} = \frac{35 + 1}{7} = \frac{36}{7}
\]

Since \( \frac{36}{7} \) is the fraction of two integers (36 and 7) and 7 is not zero, it is indeed a rational number.