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1 vote
Convert 0.3666... into a fraction

2 Answers

7 votes
Answer: 11/30
Hope this helped
answered
User Hamza Dhamiya
by
8.0k points
0 votes

Answer:

11/30

Explanation:

Because the repeating value is a multiple of 3, first multiply the decimal representation by 3; 0.36666 ·
(3)/(3) = 1.1/3. Since we can't have decimals in a fraction, we'll need to multiply the result above until we have all integers. 11.3 x 10/10 = 11/30. We can't simplify this, so 11/30 is our answer.

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