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Ch 13: NMTA Middle Grades Math: Operations with Fractions

About This Chapter

As you study for the NMTA Middle Grades Mathematics exam, improve your skills solving problems with fractions by completing the activities of this chapter. Take the lesson quizzes and cumulative chapter exam to gauge how well you understand the information you've reviewed.

NMTA Middle Grades Math: Operations with Fractions - Chapter Summary

As part of a study guide course for the NMTA Middle Grades Mathematics exam, this chapter will help you improve your abilities working with fractions. First, watch a series of short lesson videos as professional instructors demonstrate the steps used to solve mathematical operations with fractions. By following along with these videos you should gain a better understanding of:

  • Adding and subtracting fractions and mixed numbers with common and different denominators
  • How to multiply and divide fractions and mixed numbers
  • Solving complex fractions
  • Adding, subtracting, multiplying and dividing decimals
  • Estimating solutions for operations with fractions
  • Problem solving with fractions and mixed numbers

Get the most out of this chapter by completing the lesson worksheets meant to fortify your retention of the information presented and taking lesson quizzes to find areas you don't understand. Return to the lesson videos to reinforce your understanding of this material using video tags to skip over the information you've already mastered. If you have any questions about this chapter, be sure to ask our instructors for answers to ensure you are prepared for questions with fractions on test day.

NMTA Middle Grades Mathematics: Operations with Fractions - Chapter Objectives

The NMTA Middle Grades Mathematics test is a computer based certification exam that assesses future educators' mastery over middle grade mathematics with a series of 150 multiple-choice questions. When you take this exam, you will be asked to complete these questions in a four hour and 15 minute testing session. Seventeen percent of these questions will ask you about number sense and operations, including some problems with fractions. The objective of this chapter is not only to prepare you for the questions in this domain of the NMTA Middle Grades Mathematics but any exam question with fractions.

10 Lessons in Chapter 13: NMTA 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.
Not Taken
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 NMTA Middle Grades Mathematics (203): Practice & Study Guide course

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