I believe there is only one difference. The mixed numbers have to be converted to fractions. After that the operation is the same. Each fraction then must have a common denominator in order to add or subtract which is true in either case. Perhaps you need to convert back to mixed number however you might have to do that also when adding fractions. Example 9/16 +9/16 =18/16 = 1 1/4. And in subtracting mixed numbers you might end up with a complete fraction thus not needing conversion. Therefore I see only one definite difference as described above on the first paragraph.
Because think of like fractions as the same things.. you can subtract halves from halves for example, but what does it mean to take away a half from a third?By converting them into like fractions, we can add or subtract them easily.
You first find equivalent fractions whose denominators are a common multiple of the different denominators. Teachers like you to use the least common denominator: that is not necessary although it can result in your working with smaller numbers and so make things easier.
Real numbers are any numbers that could be on a number line. Rational numbers are numbers that can be expressed as fractions. Real irrational numbers are things like pi or the square root of 2.
The need for such concepts arises, among other things, from the manipulation of fractions. The least common multiple is commonly used to find a common denominator for different frations; this is required to compare, add, or subtract two (or more) fractions.
For subtracting and adding you cannot add or subtract unalike things. For multiplication and division you can multiply by whatever you want. In some maths you even multiply by variables such as "x". Or divide by them.
Normal fractions are rational numbers. So you might not be able to share things without rationals.
1.925 IS a fraction as a decimal. Decimals can be transformed into a lot of things but mainly improper fractions and mixed numbers.
Negative numbers are simply a continuation of the number line past zero. They indicate a deficit. Without negative numbers, you would not be able to do simple things, such as subtract 5 from 3.
many things can... here is just one example 7.941-2.153=5.788
It depends on what you want to convert to proper fractions. Not all things can be converted to proper fractions.
because many everyday things do not come in whole numbers. For example, 1/2 cup of water, 1/3 or a pie.. etc
They can both be converted into decimals and from there into fractions or percentages.