Difference between revisions of "1997 AIME Problems/Problem 5"
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== Problem == | == Problem == | ||
| + | The number <math>r</math> can be expressed as a four-place decimal <math>0.abcd,</math> where <math>a, b, c,</math> and <math>d</math> represent digits, any of which could be zero. It is desired to approximate <math>r</math> by a fraction whose numerator is 1 or 2 and whose denominator is an integer. The closest such fraction to <math>r</math> is <math>\frac 27.</math> What is the number of possible values for <math>r</math>? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=1997|num-b=4|num-a=6}} | |
Revision as of 15:32, 20 November 2007
Problem
The number 
can be expressed as a four-place decimal 
where 
and 
represent digits, any of which could be zero. It is desired to approximate by a fraction whose numerator is 1 or 2 and whose denominator is an integer. The closest such fraction to is 
What is the number of possible values for ?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1997 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
