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

### About This Chapter

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

This chapter can prepare you to solve problems with fractions on the NES Middle Grades Math examination. Recollect techniques for changing between decimals and fractions and re-discover procedures for simplifying and converting decimals and fractions. Examples are included that review how to work with like and unlike fractions. These educational video lessons could help you to:

- Define the different types of fractions
- Explain the rules for raising and reducing fractions
- Solve problems by using fractions and decimals
- Calculate the least common denominators
- Order and compare fractions
- Contrast decimals, fractions and whole numbers on the number line
- Switch between mixed numbers and improper fractions

Learn about various aspects of fractions through each of these informational online videos. Pause and rewind the videos, or make use of the video tags that assist with navigating the lessons. Read over the written transcripts and utilize the ask-a-question feature that can be found in the Dashboard area. Take the self-assessment quizzes that can determine your comprehension of fractions and your ability to answer these kinds of questions on the NES Middle Grades Math examination.

### NES Middle Grades Math: Introduction to Fractions Chapter Objectives

Study this chapter so that you'll have refreshed knowledge when solving fractions on the *Number Sense and Operations* content domain of the NES Middle Grades Math examination. One of the test's four content domains, *Number Sense and Operations* makes up the equivalent of 17% of the overall score. Provide accurate answers to the 150 multiple-choice questions on the entire test in under four hours and 15 minutes so that you may earn a middle grades mathematics endorsement. The assessment is computer based.

### 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 NES Middle Grades Mathematics (203): Practice & Study Guide course

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