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.
You DO need a common denominator to add, subtract, or compare fractions. You DO NOT need a common denominator to multiply or divide fractions.
Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).
You basically have to learn separately how to do different things with fractions, including finding a common denominator; converting fractions to a different denominator; simplifying fractions; adding and subtracting fractions; multiplying fractions; dividing fractions.
All fractions have that.
No. All fractions are not whole numbers, but all whole numbers are [improper] fractions (with a denominator of 1).
If the fractions do not all have the same denominator, find a common multiple of the denominators (ideally the lowest common multiple) and convert the fractions to equivalent fractions with this denominator. Now with all the fractions with the same denominator, add together the numerators. Finally, reduce the fraction to simplest terms, converting any improper fraction to a mixed number.
To put fractions into opposite fractions, all you have to do is flip it so that the numerator becomes the denominator and the denominator becomes the numerator. This is called a reciprocal. Example: The opposite of 3/5 is 5/3
Yes when they have a denominator of 1
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.
Option 1: Find a common denominator for the two fractions. It need not be the least common denominator; for example, for two fractions, if you just multiply the two denominators, you get a common denominator. Convert all the fractions to the common denominator. Then you can compare. Option 2: Convert each fraction to decimal, by dividing the numerator by the denominator. Then you can compare the decimals.
No, because all fractions are rational numbers
In order to add fractions, they must have the same denominators. If the fractions you wish to add do not already have the same denominators, they can be made to do so by finding the right number by which to multiply both the numerator and the denominator of each fraction. To find this number, multiply all the distinct denominators together, then multiply both the numerator and denominator of each fraction by a number found by the dividing the product of the distinct denominators by the denominator of the particular fraction concerned. All the fractions will then have the same denominator. Add the numerators of such fractions together to find the numerator of the sum; its denominator will be the one common to all the fractions.