# Ch 19: Fractions

### About This Chapter

## Fractions - Chapter Summary

This chapter's video lessons cover the differences between proper, improper, like, unlike and mixed number fractions and can be used to prepare for the mathematical reasoning section of the GED exam. Topics of discussion include:

- Raising and reducing fractions
- Relating fractions and decimals
- Comparing and ordering fractions
- Finding the least common denominator
- Changing improper fractions to mixed number forms
- Adding and subtracting like and unlike fractions
- Multiplying and dividing fractions
- Solving complex fractions

This chapter features plenty of resources to familiarize you with fractions in all of their various forms. Over the course of several entertaining video lessons, instructors define key terms and outline problem-solving steps for equations including both basic and complex fractions. If you'd rather access the material in a written format, there are corresponding transcripts. Each lesson also includes a short multiple-choice quiz with sample problems that can be used to review the main ideas.

### Fractions - Chapter Objectives

The GED exam consists of four test sections - one each on social science, science, language arts and math - which are used to award a high school equivalency diploma to adults who demonstrate the academic skills needed to succeed in college or the job market. Instruction in this fractions chapter is designed to help you prepare for the 45% of mathematical reasoning exam questions that assess your quantitative problem-solving skills.

Video lessons, transcripts and quizzes can hone your ability to convert and simplify fractions and perform basic arithmetic functions with mixed number, like and unlike fractions. Lesson content can also show you how to compare fractions to decimals and whole numbers and successfully answer exam questions on these areas, whether they be in matching, multiple-choice, hot spot or fill-in-the-blank formats.

### 1. What is a Fraction? - Definition and Types

Fractions may be your friend's worst nightmare, but they don't have to be yours. Watch this video lesson to learn about fractions and how you can understand them easily. Also, learn to identify the different types of fractions.

### 2. How to Raise and Reduce Fractions

When working with fractions, you sometimes need to change your fraction to make it easier to work with. Watch this video lesson to learn how you can raise and reduce fractions to make your problem solving easier.

### 3. Relating Fractions and Decimals

Watch this video lesson to learn how to use both fractions and decimals to help you solve problems. Learn how to change between the two to use the best one for your problem.

### 4. How to Find Least Common Denominators

Finding a Least Common Denominator is an important tool when working with fractions. To find least common denominators, we will use multiples of our numbers.

### 5. Comparing and Ordering Fractions

Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.

### 6. Changing Between Improper Fraction and Mixed Number Form

Improper fractions and mixed numbers are two different types of fractions. They both have different purposes when using fractions in a problem. In this lesson, you will learn how to convert between these two different forms.

### 7. How to Change Mixed Numbers to Improper Fractions

When it comes to fractions in algebra, we hardly ever use mixed numbers. Instead, we opt for the ease of use of improper fractions. Watch this video lesson to learn how to change your mixed numbers to improper fractions.

### 8. How to Add and Subtract Like Fractions and Mixed Numbers

When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.

### 9. How to Add and Subtract Unlike Fractions and Mixed Numbers

Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.

### 10. Multiplying Fractions and Mixed Numbers

Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.

### 11. Dividing Fractions and Mixed Numbers

Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.

### 12. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers

Watch this video lesson to learn how useful the number line can be when you need to compare two different numbers, be they whole numbers, decimals or even fractions. Learn how to plot these numbers on the number line so you can compare them.

### 13. How to Solve Complex Fractions

Did you know fractions can nest within fractions? In this lesson, we'll learn about complex fractions and look at two different methods for solving them.

### 14. Addition, Subtraction, Multiplication, and Division with Decimal Notation

Performing operations such as addition, subtraction, multiplication and division has some differences when there are decimals involved. This lesson will explain how to perform these operations all while keeping the decimals straight.

### 15. Practice with Fraction and Mixed Number Arithmetic

Adding whole numbers is one thing. But adding fractions and mixed numbers? That's not so simple. Or is it? In this lesson, we'll practice arithmetic with both fractions and mixed numbers.

### 16. Estimation Problems using Fractions

When working with fractions, estimating can save time and effort while getting you very close to the correct answer. In this lesson, we'll learn how to use estimation to quickly solve problems involving fractions.

### 17. Solving Problems using Fractions and Mixed Numbers

Fractions don't just live in math problems. They're all around us, helping us through our lives. In this lesson, we'll look at real scenarios where your ability to work with fractions can save the day.

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### Other Chapters

Other chapters within the College Algebra: Help and Review course

- Basic Arithmetic
- Overview of Real Numbers
- Foundations and Linear Equations: Help and Review
- Overview of Linear Equations
- Matrices and Absolute Value: Help and Review
- Inequalities: Help and Review
- Using FOIL, Graphing Parabolas & Solving Quadratics to Factor: Help & Review
- Properties of Polynomial Functions
- Working with Quadratic Equations
- Complex Numbers: Help and Review
- Exponents and Exponential Expressions
- Overview of Exponents
- Exponents and Polynomials: Help and Review
- Algebraic Expressions and Equations
- Rational Expressions: Help and Review
- Working with Rational Expressions
- Math Expressions and Formulas
- Functions: Help and Review
- Factoring
- Exponentials and Logarithms: Help and Review
- Probability Mechanics: Help and Review
- Calculations, Ratios & Proportions
- Percent Notation
- Data, Statistics & Probability
- Sequences and Series: Help and Review
- Basic Number Sense and Operations
- Overview of Roots & Radical Expressions
- Overview of Continuity in Mathematics
- Overview of Mathematical Limits