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Ch 11: GACE Middle Grades Math: Operations with Fractions

About This Chapter

Get trained on how to use fractions in math so that you can teach middle school students in Georgia. You can use the video lessons, quizzes and many other tools to prepare for the GACE Middle Grades Math test.

GACE Middle Grades Math: Operations with Fractions - Chapter Summary

Need a refresher on fractions? The content of the lessons in this chapter provide fundamental knowledge of fractions to solve equations. You'll get a chance to practice using fractions and view examples to get ready for the GACE Middle Grades Math test. Here's a sampling of what topics are covered in the chapter:

  • Adding and subtracting like and unlike mixed numbers and fractions
  • Dividing and multiplying fractions and mixed numbers
  • Solving complex fractions
  • Using fractions for estimation equations
  • Solving decimal notation with multiplication, addition, division and subtraction

The step-by-step process of using and calculating fractions is presented in fun and engaging ways by experienced instructors. Take the short lesson quizzes to verify your understanding of the material.

10 Lessons in Chapter 11: GACE Middle Grades Math: Operations with Fractions
Test your knowledge with a 30-question chapter practice test
How to Add and Subtract Like Fractions and Mixed Numbers

1. 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

2. 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

3. 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

4. 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.

How to Solve Complex Fractions

5. 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.

Addition, Subtraction, Multiplication, and Division with Decimal Notation

6. 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.

Practice with Fraction and Mixed Number Arithmetic

7. 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.

Estimation Problems using Fractions

8. 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.

Estimating Products & Quotients of Fractions & Mixed Numbers

9. Estimating Products & Quotients of Fractions & Mixed Numbers

You will be able to quickly estimate the answer to a multiplication or division problem involving fractions after watching this video lesson. Learn how to estimate the fraction for the best estimate.

Solving Problems using Fractions and Mixed Numbers

10. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the GACE Middle Grades Mathematics (013): Practice & Study Guide course

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