622 WordsAug 1, 20143 Pages

A Mixed Fraction is a whole number and a proper fraction combined. Names
We can give names to every part of a mixed fraction:
Three Types of Fractions
There are three types of fraction:
Mixed Fractions or Improper Fractions
You can use either an improper fraction or a mixed fraction to show the same amount.
For example 1 3/4 = 7/4, as shown here:
13/18 -------> Thirteen over eighteen;
24/26 -------> Twenty-four over twenty-six.
In mathematical speak and in everyday usage, these are also valid terms:
3/8 --------> Three eighths
13/18 -------> Thirteen eighteenths
24/26 --------> Twenty-four twenty-sixths
In American English:
3 1/4 --------> Three and one quarter
1 1/2 --------> One and one half
Note the differences in British English:
3 1/4 --------> Three and a quarter
1 1/2 --------> One and a half Factors of 15 are 1, 3, 5, and 15 | Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30 | Factors of 105 are 1, 3, 5, 7, 15, 21, 35 and 105 | The factors that are common to all three numbers are 1, 3, 5 and 15
In other words, the common factors of 15, 30 and 105 are 1, 3, 5 and 15
What is the "Greatest Common Factor" ?
It is simply the largest of the common factors.
In our previous example, the largest of the common factors is 15, so the Greatest Common Factor of 15, 30 and 105 is 15
What is a "Multiple" ?
The multiples of a number are what you get when you multiply it by other numbers (such as if you multiply it by 1,2,3,4,5, etc). Just like the multiplication table.
Here are some examples: The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, etc ... | The multiples of 12 are: 12, 24, 36, 48, 60, 72, etc... |
What is a "Common Multiple" ?
When you list the multiples of two (or more) numbers, and find the same value in both lists, then that is a common multiple of those numbers.

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