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MATH / If 0.(1331)¯ is written as a fraction (a)/(b) with a and b being positive integers with a greatest common divisor of 1, what is a+b?

Problem

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problem

If 0.1331¯0.\overline{1331} is written as a fraction ab\frac{a}{b} with aa and bb being positive integers with a greatest common divisor of 1, what is a+ba+b?
Plain-text mathematical notation (without MathML)
If 0.(1331)¯ is written as a fraction (a)/(b) with a and b being positive integers with a greatest common divisor of 1, what is a+b?
Original LaTeX notation
If $0.\overline{1331}$ is written as a fraction $\frac{a}{b}$ with $a$ and $b$ being positive integers with a greatest common divisor of 1, what is $a+b$?

level

Level 4

type

Number Theory

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Source and history

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