- Rule 1: Zero in the Denominator of a Fraction
- Rule 2: Zero in the Numerator of a Fraction
- Rule 3: One Minus Sign in a Fraction
- Rule 4: Odd Number and Even Number of Minus Signs in a Fraction
- Rule 5: Division Symbol in a Fraction
- Rule 6: Properties of the Number 1
- Rule 7: Different Faces of the Number 1
- Rule 8: Any Integer can be Written as a Fraction
- Rule 9: Factoring Integers
- Rule 10: Reducing Fractions
- Rule 11: Multiplying Two Simple Fractions
- Rule 12: Multiplying an Integer and a Simple Fraction
- Rule 13: Multiplying Three or More Simple Fractions
- Rule 14: Dividing Simple Fractions
- Rule 15: Dividing a Simple Fraction by an Integer
- Rule 16: Dividing Three or More Simple Fractions
- Rule 17: Building Fractions
- Rule 18: Adding Two Simple Fractions
- Rule 19: Subtracting Two Simple Fractions
- Rule 20: Order of Operations for , , +, -
- Rule 21: Order of Operations for Parentheses
- Rule 22: Order of Operations for Nested Parentheses
- Rule 23: Order of Operations in Fractions
- Rule 24: Converting Complex Fractions to Simple Fractions
- Rule 25: Multiplying and Dividing Two Complex Fractions
- Rule 26: Adding and Subtracting Two Complex Fractions
- Rule 27: Compound Fractions
- Rule 28: Converting Decimals to Fractions
- Rule 29: Converting Percentages to Fractions

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