# Ch 12: ORELA Middle Grades Math: Introduction to Fractions

### About This Chapter

## ORELA Middle Grades Math: Introduction to Fractions - Chapter Summary

You can use this chapter to review the parts of a fraction, as well as brush up on solving problems that ask you to convert between improper fractions and mixed number forms or finding the least common denominator. Specifically, the lessons in this chapter prepare you to answer questions on:

- Types of fractions
- Raising and reducing fractions
- Connecting fractions and decimals
- Least common denominators
- Ordering fractions
- Comparing figures using the number line
- Converting fractions

Each lesson includes a short and engaging video lesson as well as a video transcript and multiple-choice quiz. You can easily re-review any parts of the videos that need a second look with the included video tags.

### ORELA Middle Grades Math: Introduction to Fractions - Chapter Objectives

The ORELA Middle Grades Math test assesses the knowledge and skills of prospective teachers seeking a credential for teaching middle school math in the state of Oregon. The computer-based test is four hours and 15 minutes long and includes 150 multiple-choice questions. Information covered in this chapter is part of the number sense and operations content area, which makes up 17% of the test questions. Before taking this test, you should be able to answer a variety of problems that include fractions. Review for these questions through the engaging videos in this chapter, and practice for the exam with questions that are similar to the types of questions find on the actual test with this chapter's quizzes.

### 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.

### 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.

### 3. Relating Fractions and Decimals

Watch this video lesson to learn how to use both fractions and decimals to help you solve problems. Learn how to change between the two to use the best one for your problem.

### 4. 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.

### 5. 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.

### 6. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers

Watch this video lesson to learn how useful the number line can be when you need to compare two different numbers, be they whole numbers, decimals or even fractions. Learn how to plot these numbers on the number line so you can compare them.

### 7. 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.

### 8. 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.

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### Other Chapters

Other chapters within the ORELA Middle Grades Mathematics: Practice & Study Guide course

- ORELA Middle Grades Math: Basic Arithmetic Operations
- ORELA Middle Grades Math: Solving Math Word Problems
- ORELA Middle Grades Math: Properties of Numbers
- ORELA Middle Grades Math: Estimating & Rounding
- ORELA Middle Grades Math: Number Theory
- ORELA Middle Grades Math: Roots & Radical Expressions
- ORELA Middle Grades Math: Exponents & Exponential Expressions
- ORELA Middle Grades Math: Scientific Notation
- ORELA Middle Grades Math: Simplifying Whole Number Expressions
- ORELA Middle Grades Math: Integers
- ORELA Middle Grades Math: Rational Numbers
- ORELA Middle Grades Math: Operations with Fractions
- ORELA Middle Grades Math: Introduction to Decimals
- ORELA Middle Grades Math: Operations with Decimals
- ORELA Middle Grades Math: Percents
- ORELA Middle Grades Math: Money & Consumer Math
- ORELA Middle Grades Math: Number Patterns & Sequences
- ORELA Middle Grades Math: Properties of Functions
- ORELA Middle Grades Math: Graphing Functions
- ORELA Middle Grades Math: Negative Numbers
- ORELA Middle Grades Math: Absolute Value
- ORELA Middle Grades Math: Inequalities
- ORELA Middle Grades Math: Factoring
- ORELA Middle Grades Math: Monomials & Polynomials
- ORELA Middle Grades Math: Writing Algebraic Expressions
- ORELA Middle Grades Math: Basic Algebraic Expressions
- ORELA Middle Grades Math: Algebraic Distribution
- ORELA Middle Grades Math: Writing & Solving One-Step Equations
- ORELA Middle Grades Math: Writing & Solving Two-Step Equations
- ORELA Middle Grades Math: Simplifying & Solving Rational Expressions
- ORELA Middle Grades Math: The Coordinate Graph
- ORELA Middle Grades Math: Linear Equations
- ORELA Middle Grades Math: Systems of Linear Equations
- ORELA Middle Grades Math: Rates, Ratios & Proportions
- ORELA Middle Grades Math: Measurements
- ORELA Middle Grades Math: Perimeter & Area
- ORELA Middle Grades Math: Polyhedrons & Geometric Solids
- ORELA Middle Grades Math: Symmetry, Similarity & Congruence
- ORELA Middle Grades Math: Properties of Lines
- ORELA Middle Grades Math: Angles
- ORELA Middle Grades Math: Triangles
- ORELA Middle Grades Math: Triangle Theorems & Proofs
- ORELA Middle Grades Math: Similar Polygons
- ORELA Middle Grades Math: The Pythagorean Theorem
- ORELA Middle Grades Math: Quadrilaterals
- ORELA Middle Grades Math: Circles
- ORELA Middle Grades Math: Circular Arcs & Measurement
- ORELA Middle Grades Math: Transformations
- ORELA Middle Grades Math: Data & Graphs
- ORELA Middle Grades Math: Statistics
- ORELA Middle Grades Math: Data Collection
- ORELA Middle Grades Math: Samples & Populations
- ORELA Middle Grades Math: Probability
- ORELA Middle Grades Math: Sets
- ORELA Middle Grades Mathematics Flashcards