No. For example, the fraction 1/14 goes on forever when written as a decimal.
(.0714285714285714285714285714285...)
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Actually, fractions go into the order by how large they are. This should actually be easier with a denominator. You know that if they all have the same denominator, that the number with the highest numerator is the largest.
There isn't a universal answer to all problems. What you should try to do is find the lowest common denominator between the fractions you are adding.
The first step, to add, subtract, or compare fractions, is always to convert the fractions to equivalent fractions, that all have the same denominator. You can use one of several techniques to get the LEAST common denominator, or simply multiply the two denominators to get a common denominator (which in this case may, or may not, be the smallest common denominator).
There are 99999 fractions with a 1-digit numerator and 5-digit denominator - 6 digits in all: though not all the fractions are different. Similarly there are 8,999,910 fractions with a 2-digit numerator and 4-digit denominator. And so on. In total, there are 3,600,009 fractions using 6 numbers.
A common denominator. The best way is to find the LCM (Lowest Common Multiple) of all the denominators - the smallest number into which all the denominators will divide. (The easiest way to do this is to multiply all the different denominators together. Once this common denominator has been found, convert all the fractions into equivalent fractions with this new denominator.