Convert a decimal number to a fraction / rational number

Question

In JavaScript, is there any way to convert a decimal number (such as 0.0002) to a fraction represented as a string (such as \"2/10000\")?

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Answer 1

The good news is that it's possible, but you'll have to convert it to code.

Let's go with 2.56 for no reason at all.

Use the decimal portion of the number .56

There are 2 digits in .56, write .56 as 56/100.

So we have 2 + 56/100 and need to reduce this fraction to lowest terms by dividing both the numerator and denominator by the greatest common divisor, which is 4 in this case.

So, this fraction reduced to lowest terms is 2 + 14/25.

To add those whole 2, we multiply by the divisor and add to the 14

(2*25 + 14)/25 = 64/25