Question

the number \\(\frac{2}{5}\\) is both a(n) ______ and a(n) ______.

a.) irrational number; whole number
b.) rational number; fraction
c.) integer; decimal
d.) integer; fraction

Explanation:

Analyze the given number

The given number is \(\frac{2}{5}\).

Evaluate the classifications

• It is written in the form \(\frac{a}{b}\) where \(a\) and \(b\) are integers and \(b

eq 0\), which defines a fraction and a rational number.

• It is not an integer, whole number, or irrational number.

Match with the options

• Option (b) states "rational number; fraction", which correctly describes \(\frac{2}{5}\).

Answer:

• a.) irrational number; whole number
• b.) rational number; fraction (Correct answer)
• c.) integer; decimal
• d.) integer; fraction