Ch 2: NMTA Essential Academic Skills Math: Fractions

About This Chapter

Let us help you prepare for questions about fractions on the NMTA Essential Academic Skills Math test. Strengthen your ability to perform varius calculations with fractions. Our video lesson and quizzes will have you ready in no time.

NMTA Essential Academic Skills Math: Fractions - Chapter Summary

New Mexico uses the NMTA Essential Academic Skills Subtest III in Mathematics for teacher certification or endorsement. Our expert instructors would love to help you get ready for this test. This chapter on fractions will help you review the process of calculating, reducing, and simplifying numerical and word problems involving fractions. You might even learn some teaching methods you can use in your future classroom! Our instructors have put together video lessons that are brief but thorough in their review of essential topics like:

  • Building, reducing, comparing and ordering fractions
  • Converting between improper fractions and mixed numbers
  • Calculations involving mixed numbers and like or unlike fractions, including adding and subtracting
  • Solving complex fraction problems
  • Comparing decimals, fractions and whole numbers using the number line
  • Simplifying word problems involving fractions

Each lesson has a corresponding mini-quiz so you can find any weak spots in your comprehension or retention. Re-watch any of the videos as many times as you need. They're easy to navigate so you can skip to the parts you want to review.

Objectives of the NMTA Essential Academic Skills Math: Fractions Chapter

The NMTA Essential Academic Skills Subset III Mathematics test is a computer-based test of approximately 45 multiple-choice questions that you'll have an hour to complete. Among other math topics, the test will assess your ability to demonstrate knowledge of fractions and convert between them and decimals, percentages, integers, ratios, proportions and exponents. Also, you may find word problems on the test involving fractions. As you can see, our chapter topics correlate well with what you may encounter on the test.

12 Lessons in Chapter 2: NMTA Essential Academic Skills Math: Fractions
Test your knowledge with a 30-question chapter practice test
What is a Fraction? - Definition and Types

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.

How to Raise and Reduce 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.

Comparing and Ordering Fractions

3. 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.

Changing Between Decimals and Fractions

4. Changing Between Decimals and Fractions

In this video lesson, you will learn about the usefulness of knowing how to change quickly between decimals and fractions. You will also learn how changing from a decimal to a fraction is different than changing from a fraction to a decimal.

Changing Between Improper Fraction and Mixed Number Form

5. 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 Change Mixed Numbers to Improper Fractions

6. 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.

How to Add and Subtract Like Fractions and Mixed Numbers

7. 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

8. 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

9. 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

10. 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

11. 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.

How to Simplify Word Problems with Fractions Using Whole Numbers

12. How to Simplify Word Problems with Fractions Using Whole Numbers

Watch this video lesson to learn how to solve word problems with fractions in them easily by turning your fractions into whole numbers. Learn what you need to do to get rid of your fractions so you can easily solve your problem.

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.
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Other Chapters

Other chapters within the NMTA Essential Academic Skills Subtest Math (003): Practice & Study Guide course

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