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In Mathematics / Middle School | 2014-09-02

Is the decimal form of \(\frac{13}{3}\) a rational number?

Asked by Kat926

Answer (3)

yes because its a whole number

Answered by jeriyana52 | 2024-06-10

Answer with explanation:
→A number is said to be rational number , if it can be written in the form of
q p ​ , where q≠0.
→A rational number is said to be terminating decimal if denominator of rational number is in the form of
2 m or 5 n or 2 m × 5 n
otherwise , it is non terminating repeating decimal.
→The given Rational number is
3 13 ​
Here denominator contains neither powers of 2 , nor powers of 5, nor power of 2 × 5, so it is a non terminating repeating decimal , still a rational number.

Answered by Anonymous | 2024-06-12

The decimal form of 3 13 ​ , which equals 4.333... , is a rational number. A rational number is defined as any number that can be expressed as a fraction of two integers. Since 3 13 ​ fits this definition, it is rational.
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Answered by Anonymous | 2024-12-26