[tex]\frac{54}{25 }[/tex] is the rational number for the decimal 2.16
What is rational number?
A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.
According to the given question.
We have a number 2.16
To convert the above in rational number, we convert the given number in [tex]\frac{x}{y}[/tex] form, where x and y are positive integers.
We read 2.16 as " 2 and sixteen hundredths".
Therefore, 2.16 can be written as [tex]2\frac{16}{100}[/tex].
Now we will simplify [tex]2\frac{16}{100}[/tex].
⇒ [tex]2\frac{16}{100} =2\frac{4}{25}[/tex]
⇒ [tex]2\frac{16}{100} =\frac{54}{25}[/tex]
Hence, [tex]\frac{54}{25 }[/tex] is the rational number for the decimal 2.16
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