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Thought-Process to Discover Knowledge
Learn the revolutionary new details uncovered about fractions. Fractions are measure of "parts of a whole". Numerator is the count of the parts and Denominator represents the size of one part as place-value for the numerator. In this, learn the following.
• Fractions as numbers with specified place-values
• Fractions as directed-numbers (positive and negative)
• Fractions arithmetics : first principles
• fractions arithmetics : simplified procedures
Addition/Subtraction with LCM of denominators
Multiplication by multiplying numerators and denominators
Division as multiplication with multiplicative inverse
(click for the list of lessons in this topic)
Arithmetics with Fractions
Fractions are specified in different place values or denominators. This page explains arithmetics with fractions such as, comparison, addition, subtraction, multiplication, and division.
The arithmetic operations are first explained in first-principles for fractions - numbers with different place-values.
Then simplified procedures are explained.