What rational number is equivalent to 6.121212121212?
1 answer:
Answer: 6.121212121212... = 202/33
Step-by-step explanation:
(612 - 6)/99 = 606/99 = 202/33 = 6.12121212121212... ∈ ℚ
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
Since 6.121212121212... is a number whose digits are periodic (<u>12)</u> , we can express it as a fraction 202/33, therefore is a rational number ∈ℚ.
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