# Ch 1: Basic Fractions

### About This Chapter

### 1. Numerator & Denominator: Definition & Examples

Explore two parts of a fraction called the numerator and denominator. Discover what these two numbers represent as you further your understanding of fractions.

### 2. Rationalizing the Numerator

Rationalizing the numerator of a fraction is necessary when you are working with an irrational number. This lesson will focus on identifying irrational numbers in your fraction and using that irrational number to manipulate your fraction.

### 3. Adding & Subtracting Improper Fractions

Improper fractions are those that have a larger number in the numerator and a smaller number in the denominator. This lesson will focus on showing you ways to easily and efficiently add and subtract improper fractions.

### 4. Adding & Subtracting Negative Fractions

Negative numbers often cause a bit of confusion for students. Combined with fractions, it can be a perfect storm of frustrating math problems! But have no fear. Follow the steps in this lesson and you will feel comfortable with negative fractions in no time. After the lesson, take a short quiz to show those negative fractions who's boss!

### 5. Common Denominator: Finding & Fractions

Finding the common denominator is an important step in adding or subtracting fractions. This lesson will discuss the steps needed to find the common denominator using examples.

### 6. Greatest Common Divisor: Definition & Formula

The greatest common divisor, also known as the greatest common factor, can be found through a variety of methods. This lesson will focus on both the prime factorization method and Euclid's algorithm.

### 7. Least Common Denominator: Definition & Examples

In this lesson, we'll explore the least or lowest common denominator, including its definition and examples of how to find it. Our examples will include both numerical and algebraic problems.

### 8. Math Conjugates: Definition & Explanation

After completing this lesson, you will be able to describe the concept of math conjugates. You will also be able to write math conjugates and use them appropriately to solve problems.

### 9. Opposite Reciprocals: Definition & Concept

An opposite reciprocal is a fun mathematic concept that can help you determine whether two lines are perpendicular. In this lesson, learn about this concept and practice finding opposite reciprocals.

### 10. Proper Fractions: Definition & Examples

In this lesson, we will discuss just what makes proper fractions proper. We will see how they compare to improper fractions, as well as look at several examples.

### 11. Subtracting Fractions with Regrouping

In this lesson, we will go over the basics of subtracting fractions with mixed numbers. We will specifically focus on scenarios when the the whole number needs to be regrouped into the fraction so the numbers can be properly subtracted.

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### Other Chapters

Other chapters within the General Studies Math: Help & Review course