Can you turn a decimal number into a fraction?
Asked by
Fyrius (
14578)
January 14th, 2011
It’s easy enough to turn a fraction into a number. Five twelfths is just five divided by twelve.
But if you have a number – say, 0.375 – is there a convenient way to turn that into a fraction?
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7 Answers
375 over 1000… Then reduce the fraction. That is how I would do it.
The place value to the right of the decimal starts at tenths. Add a zero for each number past that, which is why .375 is 1000ths. Easy way to understand it is that when you write out money, 10 cents is written as $.10. A dime is 1/10 of 100 cents.
In the example given you have 375/1000, which is a fraction. You might notice that numerator and denominator have factors in common (5 at least) which can be removed to further simplify. In fact 125 is a common factor: 375 / 1000 = (3*125) / (8*125).
In simplest terms: 0.375 = 3/8.
Gotta agree with @Not_the_CIA for a general rule, but also, after working with numbers for long enough you’ll be able to skip the middle steps in many cases. For instance, I know .125 to be 1/8 and immediately recognized .375 as a multiple of that.
If you have a repeating decimal, you can write it as a fraction by writing the repeating section over a string of nines the same length. For example, .345345345… could be written as 345/999.
as long as it is a rational number, i.e., no pi or e or square root of 2. That’s what a rational number is: a number that can be expressed as a ratio.
Golly, that makes perfect sense.
Thanks, guys.
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