Question

is five and 1/7 rational or irrational

Answer 1

Five and \( \frac{1}{7} \) can be expressed as a mixed number, which combines a whole number (5) and a fraction (\( \frac{1}{7} \)). To determine if it's rational or irrational, we can convert it into an improper fraction or a decimal.

Five and \( \frac{1}{7} \) can be converted to an improper fraction as follows:

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

Since \( \frac{36}{7} \) is a fraction where both the numerator (36) and the denominator (7) are integers and the denominator is not zero, it classifies as a rational number.

Therefore, five and \( \frac{1}{7} \) is a rational number.