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MATH / If (a)/(b) is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with a and b being relatively prime positi…

Problem

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problem

If ab\frac{a}{b} is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with aa and bb being relatively prime positive integers, what is a+ba+b?
Plain-text mathematical notation (without MathML)
If (a)/(b) is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with a and b being relatively prime positive integers, what is a+b?
Original LaTeX notation
If $\frac{a}{b}$ is the probability that the reciprocal of a randomly selected positive odd integer less than 2010 gives a terminating decimal, with $a$ and $b$ being relatively prime positive integers, what is $a+b$?

level

Level 5

type

Number Theory

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Source and history

task_id
ac0d39f9-53a4-5868-905c-790673566737
task_key
number~5ftheory--test--ac0d39f9-53a4-5868-905c-790673566737
task_revision_id
1
config / split
number_theory / test

Official source

initial import