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I got the following question for an interview:
Program to change a decimal to the nearest fraction.
Example:
0.12345 => 2649/20000
0.34 => 17/50
What is the best approach to solve this?
A decimal number is a fraction whose denominator is a power of ten (and similarly for any number base). So 0.34 is 34/100. Now just cancel the common factor, i.e. divide both numerator and denominator by their greatest common divisor.
You can find the GCD with a standard algorithm, which I leave to you to find.