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Is the decimal form of 13/3 a rational number? Explain how you can give the answer to this question without identifying the decimal form for the fraction.

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The decimal form of 13/3 is a rational number. You can write the new answer as 4 1/3 because that is equivalent to 13/3 and it is a rational number. So basically you can just give the answer as a mixed number.

Answer:  The given number is rational.

Step-by-step explanation:  We are given to check whether the decimal form of the number [tex]\dfrac{13}{3}[/tex] is a rational number or not.

We know that

a decimal form of a fraction is rational if the digits after the decimal are either repeating or terminating.

For the given number, we have

[tex]\dfrac{13}{3}=4.333...[/tex]

Since the digits after the decimal are repeating, so the given number is rational.

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