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# Pre Algebra Concepts

- Prime numbers
- Prime factoring
- Common Factors
- Greatest Common Factor (GCF)
- Simplify fraction
- Equivalent fractions
- Complex fraction when numerator is a fraction
- Complex fraction when denominator is a fraction
- Complex fraction when both numerator and denominator are fractions
- Least Common Multiple (LCM)
- Least Common Denominator (LCD)
- Compare fractions with common denominators
- Compare fractions with different denominators
- Compare fractions with same numerators and different denominators
- Improper fraction to mixed number
- Mixed number to fraction
- Add fractions with the same denominator
- Add fractions with different denominators
- Add mixed numbers with the same denominator
- Add mixed number with different denominators
- Subtract fraction with the same denominator
- subtract fractions width different denominators
- Subtract mixed number with the same denominator
- Subtract mixed number with different denominators
- Multiply fractions
- Multiply fraction by mixed number
- Multiply mixed numbers
- Divide a whole number by a fraction
- Divide a fraction by a fraction
- Divide a fraction by a mixed number
- Divide mixed number by mixed number
- Rational numbers
- Positive exponents and zero exponent
- Negative exponents

**In pre-algebra section, there are basic rules for arithmetic operation.**
For example, what is the common factors? What is the greatest common factor (GCF)? What is the simplest form of a fraction? What is the least common denominator (LCD)? How to comparing fractions with common denominators? How to comparing fractions with different denominators? How to compare fractions with the same numerators and different denominators? How to change a mixed number to a fraction? How to add
two fractions with the same denominator? How to add two fractions with different denominators? How to add two mixed numbers with the same denominator? How to add two
mixed numbers with different denominators? How to subtract two fractions with the same denominator? How to subtract two fractions with different denominators? How to
subtract two mixed numbers with the same denominator? How to subtract two mixed numbers with different denominators? How to multiply two fractions? How to divide two
fractions? Why do we need to use a fraction? Look the example, on hour is 60 minutes, then 20 minutes is how many hours? The 20 minutes is 20/60 = 1/3 hours which
is a fraction. So, a part of whole can be expressed as a fraction. There are a lot of operation rules in Pre-algebra, it is the foundation of the algebra.

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