# Ch 7: MTEL Middle School Mathematics: Operations with Fractions

### About This Chapter

## MTEL Middle School Mathematics: Operations with Fractions - Chapter Summary

Improve your understanding of fractions before you take the MTEL Middle School Mathematics exam. In order to get better at working with with fractions, you need to go through each one of the lessons in this chapter. They are effective at helping you learn and review material about:

- Building and reducing fractions
- Adding and subtracting like fractions and mixed numbers
- Solving complex fractions and estimation problems
- Performing mixed number arithmetic
- Using fractions and mixed numbers to solve problems
- Work through map and distance problems

Instructors can guide you through each lesson if you have some trouble, and you can utilize our self-assessment quizzes. They will help you quickly assess your knowledge of operations with fractions before taking the actual exam. We also have lesson transcripts, which help you efficiently review important terms and principles that deal with fractions.

### 1. How to Build and Reduce Fractions

Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.

### 2. 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.

### 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.

### 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.

### 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. Maps with Fractional Distances

After watching this video lesson, you will be able to solve map problems involving fractions. Learn how to use the information that is given to you to find missing distances as well as the total distance.

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### Other Chapters

Other chapters within the MTEL Mathematics (Middle School)(47): Practice & Study Guide course

- MTEL Middle School Mathematics: Number Structure
- MTEL Middle School Mathematics: Absolute Value
- MTEL Middle School Mathematics: Math Properties
- MTEL Middle School Mathematics: Concept of Equality
- MTEL Middle School Mathematics: Operations
- MTEL Middle School Mathematics: Introduction to Fractions
- MTEL Middle School Mathematics: Decimals
- MTEL Middle School Mathematics: Percent
- MTEL Middle School Mathematics: Ratios, Proportions & Rate of Change
- MTEL Middle School Mathematics: Estimating
- MTEL Middle School Mathematics: Real Numbers
- MTEL Middle School Mathematics: Exponents
- MTEL Middle School Mathematics: Number Properties
- MTEL Middle School Mathematics: Roots & Powers
- MTEL Middle School Mathematics: Algebra Basics
- MTEL Middle School Mathematics: Principles of Algebra
- MTEL Middle School Mathematics: Functions
- MTEL Middle School Mathematics: Linear Equations
- MTEL Middle School Mathematics: Polynomials
- MTEL Middle School Mathematics: Quadratic Equations
- MTEL Middle School Mathematics: Vectors in Linear Algebra
- MTEL Middle School Mathematics: Matrices in Linear Algebra
- MTEL Middle School Mathematics: Patterns
- MTEL Middle School Mathematics: Measurement
- MTEL Middle School Mathematics: History of Geometry
- MTEL Middle School Mathematics: Properties & Theorems of Geometry
- MTEL Middle School Mathematics: Principles of Geometry
- MTEL Middle School Mathematics: Pre-Calculus Geometry
- MTEL Middle School Mathematics: Area, Perimeter & Volume
- MTEL Middle School Mathematics: Trigonometric Functions
- MTEL Middle School Mathematics: Trigonometric Graphs
- MTEL Middle School Mathematics: Solving Trigonometric Equations
- MTEL Middle School Mathematics: Trigonometric Identities
- MTEL Middle School Mathematics: Trigonometric Applications
- MTEL Middle School Mathematics: Data
- MTEL Middle School Mathematics: Probability & Statistics
- MTEL Middle School Mathematics: Probability & Science
- MTEL Middle School Mathematics: Calculating Probability & Statistics
- MTEL Middle School Mathematics: Logic
- MTEL Mathematics (Middle School) Flashcards