Decimal expansion of 1/17?

Ryland Solomon

Ryland Solomon

Answered question

2023-02-12

Decimal expansion of 1/17?

Answer & Explanation

Peso6gn

Peso6gn

Beginner2023-02-13Added 7 answers

Since the fraction's numerator and denominator cannot be factored or simplified further, and the denominator has prime factors other than 2 and 5,
When converted to decimal, we will have repeating numbers beyond decimal point. The repeat will have 16 digits.
1 17 = 1 ÷ 17
= 0 . 0588235294117647 0588235294117647 0588235294117647 ... ... ... ... ... ... ...
i.e. 0 . 0588235294117647 ¯
One can obtain it using long division, dividing 1 by 17.

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