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Basic Mathematics

A fraction describes a relationship between A Whole and Its Parts. In studying Fractions, you will learn how to represent Many Parts of a Whole, and how we can read and write fractions. You will practice Converting Mixed Numbers into Improper Fractions, which can help you perform different kinds of operations involving fractions. With this introduction to Fractions, you will gain mastery in writing Equivalent Fractions, Simplifying Fractions, Comparing Fractions with Unlike Denominators, and much more.

- A Whole and Its Parts
- The Parts of a Whole
- Equal Parts of a Whole
- Representing Fractions
- Writing Fractions
- Reading Fractions
- Fraction Terms
- One Part of a Whole
- Many Parts of a Whole
- Size and Number in Fractions
- Writing Whole Numbers as Fractions
- Converting Fractions to Whole Numbers
- Improper Fractions
- Converting Improper Fractions
- Converting Mixed Numbers
- Equivalent Fractions
- Simplifying Fractions
- Comparing Fractions Like Denominators
- Comparing Fractions Unlike Denominators
- Ordering Fractions
- Ordering Positive and Negative Fractions
- Finding the Reciprocal
- Decomposing Fractions
- Estimating with Fractions
- Fractions on the Number Line
- Placing Fractions on the Number Line
- Placing Mixed Numbers on the Number Line

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The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 26 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.