# Ch 3: High School Algebra - Decimals and Fractions: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering high school algebra I material will benefit from taking this course. There is no faster or easier way to learn high school algebra I. Among those who would benefit are:

- Students who have fallen behind in understanding decimals and fractions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about decimals and fractions
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the decimals and fractions chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the decimals and fractions chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any decimals or fractions question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a decimals and fractions unit of a standard high school algebra I course. Topics covered include:

- Comparing and ordering decimals
- Adding, subtracting, multiplying and dividing with decimal notation
- Estimating with decimals to solve math problems
- Building and reducing fractions
- Finding least common denominators

### 1. What is a Decimal Place Value?

In this video lesson, you will see how a decimal, a simple dot, can change the place value of all the digits in a number. You will also learn how to read decimals using place values.

### 2. Comparing and Ordering Decimals

In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.

### 3. 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.

### 4. Adding and Subtracting Decimals: Examples & Word Problems

In math, we sometimes have to deal with decimal numbers instead of our nice whole numbers. Watch this video lesson to learn the one thing that you have to take into consideration when adding and subtracting decimals.

### 5. Multiplying and Dividing Decimals: Examples & Word Problems

Watch this video lesson to learn what you need to do to get a correct answer when multiplying and dividing decimals. Learn the easy tricks to figuring out where the decimal point goes.

### 6. How to Estimate with Decimals to Solve Math Problems

Watch this video lesson to learn how you can estimate problems with decimals in them so you can get a quick answer when you need it - for example, when you are at the gas station and you need to know how much gas you can afford.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. 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.

### 12. 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.

### 13. 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.

### 14. 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.

### 15. 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.

### 16. 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.

### 17. 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.

### 18. 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.

### 19. 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.

### 20. 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.

### 21. How to Solve Algebra Problems with Fractions

This lesson will explain how to solve algebra problems that include fractions by modifying the problems to make them easier. It will explain two methods that are closely related to one another.

### 22. How to Reduce or Simplify Improper Fractions

In this lesson, we will learn about working with improper fractions. Although a topic of elementary mathematics, fractions are important and occur in everyday calculations. Knowing how to calculate with fractions is an important lifelong skill.

### 23. What Are Like Fractions? - Definition & Examples

In this lesson, we will refresh some of our fraction terminology. We will then describe what like fractions are, look at some examples, and explain why they're so useful!

### 24. What is an Improper Fraction? - Definition & Example

In this lesson, you will learn the definition of an improper fraction, as well as proper fractions and mixed fractions. You will be given examples of improper fractions to properly illustrate what they are.

### 25. Partial Fraction Decomposition: Rules & Examples

What if you had a way to expand certain large math expressions into smaller pieces? This would make some calculus integrals easier to solve. In this lesson, we explore such a method: partial fraction decomposition.

### 26. Partial Fractions: Rules, Formula & Examples

One way to simply complex fractions is to expand a fraction into a series of simpler fractions added together, a process called partial fraction expansion. In this lesson, learn how to perform partial fraction expansion and practice your new skills with some practice problems.

### 27. Unlike Fractions: Definition & Examples

This lesson will teach you how to identify unlike fractions, which are fractions with different numbers in the denominator. We will also explore simplifying fractions and how a group of fractions that started out as unlike may be reduced to like fractions that can be added or subtracted.

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### Other Chapters

Other chapters within the High School Algebra I: Help and Review course

- High School Algebra - Basic Arithmetic: Help and Review
- High School Algebra - Solving Math Word Problems: Help and Review
- High School Algebra - Percent Notation: Help and Review
- High School Algebra - Real Numbers: Help and Review
- High School Algebra - Exponential Expressions & Exponents: Help & Review
- High School Algebra - Radical Expressions: Help and Review
- Algebraic Equations and Expressions: Help and Review
- High School Algebra - Properties of Functions: Help and Review
- High School Algebra - Matrices and Absolute Value: Help and Review
- High School Algebra - Working With Inequalities: Help and Review
- High School Algebra - Properties of Exponents: Help and Review
- High School Algebra - Complex and Imaginary Numbers: Help and Review
- High School Algebra - Algebraic Distribution: Help and Review
- High School Algebra - Linear Equations: Help and Review
- High School Algebra - Factoring: Help and Review
- Factoring & Graphing Quadratic Equations: Help & Review
- The Properties of Polynomial Functions: Help & Review
- High School Algebra - Rational Expressions: Help and Review
- High School Algebra - Cubic Equations: Help and Review
- High School Algebra - Quadratic Equations: Help and Review
- High School Algebra - Measurement and Geometry: Help and Review
- Ratios, Proportions & Percent in Algebra: Help & Review
- Statistics, Probability and Data in Algebra: Help and Review
- High School Algebra - Well-Known Equations: Help and Review