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22 votes
22 votes
Is 5/74 rational or irrational?

User Punita
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2 Answers

14 votes
14 votes
Rational. Any fraction is a rational number is the numerator and denominator are integers.
User Usman Azhar
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3.4k points
22 votes
22 votes

Answer:

Rational

Explanation:

5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:

5.74 = 5.74/1

5.74 x 100/ 1 x 100

You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.

5.74 × 100/ 1 × 100

When we calculate the numerator and the denominator above, we get this fraction:

574/100

The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.

User Brian Ustas
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2.9k points