Answer:
rational
Step-by-step explanation:
irrational numbers can not be expressed as a fraction
Given:
The number is [tex]\dfrac{5}{21}[/tex].
To find:
Whether the given number is rational or irrational.
Solution:
Rational number: If a number can be defined in the form of [tex]\dfrac{p}{q}[/tex] where [tex]p,q[/tex] are integers and [tex]q\neq 0[/tex], then it is called a rational number.
For example: [tex]2,\dfrac{1}{3},0.25[/tex] etc.
Irrational number: If a number cannot be defined in the form of [tex]\dfrac{p}{q}[/tex] where [tex]p,q[/tex] are integers and [tex]q\neq 0[/tex], then it is called an irrational number.
For example: [tex]\sqrt{2},\sqrt{3},\pi [/tex] etc.
The given number is [tex]\dfrac{5}{21}[/tex]. It is in the form of [tex]\dfrac{p}{q}[/tex] where [tex]p=5, q=21[/tex] and both are non-zero integers.
By the definition of rational numbers, the number [tex]\dfrac{5}{21}[/tex] is a rational number.
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