Ch 13: ORELA Middle Grades Math: Operations with Fractions

About This Chapter

Brush up on your knowledge of solving fraction-related math problems. Our video lessons and self-assessment quizzes are designed to help you prepare for the ORELA Middle Grades Math exam.

ORELA Middle Grades Math: Operations with Fractions - Chapter Summary

The lessons in this chapter can help you brush up on your knowledge of solving math problems that use fractions and mixed numbers. Prepare for the ORELA Middle Grades Math exam through these videos that cover:

  • Adding and subtracting like and unlike fractions and mixed numbers
  • Multiplying and dividing fractions and mixed numbers
  • Complex fractions
  • Problem solving with decimal notation
  • Estimation problems
  • Estimating products and quotients

This Operations with Fractions chapter includes video lessons that are taught by experienced instructors who use illustrations and examples to help you retain what you have learned. You can use the multiple-choice quizzes and end-of-chapter exam to help you determine if you are ready for test day.

ORELA Middle Grades Math: Operations with Fractions Chapter Objectives

The ORELA Middle Grades Math test is one subject-specific exam used to assess the abilities of those seeking teaching licensure in Oregon. This test is designed for those who wish to teach basic math to middle school students. The ORELA Middle Grades Math exam is four hours and fifteen minutes long and includes 150 questions that cover four main content areas. The information covered in this Operations with Fractions chapter falls under the number sense and operations content area, which make up about 22-23 of the test questions. Prepare for questions on dividing fractions, solving complex fractions and estimating the products of mixed numbers through these lessons.

10 Lessons in Chapter 13: ORELA 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 ORELA Middle Grades Mathematics: Practice & Study Guide course

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