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Ch 5: Understanding Fractions & Mixed Numbers

About This Chapter

Get ready to review what you need to know about fractions to successfully complete the FTCE Middle Grades Math exam. This chapter goes over how fractions can be used in various mathematical operations.

FTCE Middle Grades Math: Fractions - Chapter Summary

Make sure you're prepared to find solutions to problems involving fractions by studying this chapter. Doing so could help you answer questions on fractions when you take the FTCE Middle Grades Math exam. These video lessons will walk you through the steps involved in:

  • Building, reducing, comparing and ordering fractions
  • Finding the least common denominator
  • Defining equivalent fractions
  • Converting improper fractions to mixed numbers
  • Adding and subtracting like and unlike fractions
  • Multiplying and dividing mixed numbers and fractions
  • Working with fractions and mixed numbers
  • Solving complex fractions

Each lesson features a qualified instructor who shows you how to perform these computations. You can put what you know into practice with the quizzes associated with each lesson as well as the chapter test.

10 Lessons in Chapter 5: Understanding Fractions & Mixed Numbers
How to Build and Reduce Fractions

1. How to Build and Reduce Fractions

Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.

How to Find Least Common Denominators

2. 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.

What are Equivalent Fractions? - Definition & Examples

3. What are Equivalent Fractions? - Definition & Examples

In this lesson, you'll review some fraction terminology and then learn what equivalent fractions are. Afterward, you can test your new knowledge with a brief quiz.

Changing Between Improper Fraction and Mixed Number Form

4. 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.

How to Add and Subtract Like Fractions and Mixed Numbers

5. 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.

How to Add and Subtract Unlike Fractions and Mixed Numbers

6. 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.

Multiplying Fractions and Mixed Numbers

7. 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.

Dividing Fractions and Mixed Numbers

8. 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.

Solving Problems using Fractions and Mixed Numbers

9. 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.

How to Solve Complex Fractions

10. 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.

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