Decimal to Fraction
To transform a decimal to fraction you must look at the number in the way which I quickly show you (if this is what you want).
NOTE: However, there exist another path which can open a wider insight into converting fractions.
Look at what comes before and after the point (or comma)
then look how many digits there are after (to the right of) the point (or comma): the number of digits tells you the decimal places involved (e.g. tenth, hundreth, thousandth, etc...), that is the place value of your decimals is the denominator of your fraction.
then you simplify the result by reducing fractions to their lowest terms.
0.45 = 45 hundreths, so 0.45=45/100
2,368 = 2 and 368 thousandths, that is 2 and 368/1000
Again, this can be simplified by dividing both term by 8 (the Greatest Common Factor or GCF).
So the final result is 2.368 = 296/125
If you are not satisfied click here!
STUDY AND RESEARCH IN MATHEMATICS
601. The first thing to be attended to in reading any algebraic
source: Memorabilia mathematica; or, The philomath's quotation-book - Moritz, Robert Édouard, 1868-1940
A nice presentation of the method on this external website
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