# Ch 2: Rational Numbers: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering rational numbers for the GMAT test will benefit from taking this course. There is no faster or easier way to learn about rational numbers. Among those who would benefit are:

- Students who have fallen behind in understanding methods for building and reducing fractions, finding the least common denominators or ordering and comparing fractions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning about GMAT test topics (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about rational numbers
- Students who struggle to understand their teachers
- Students who attend schools without extra resources for teaching GMAT test subjects

## 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 Rational Numbers Help and Review 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 Rational Numbers Help and Review chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any question about rational numbers. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the lessons in a rational numbers unit of a standard GMAT prep course. Topics covered include:

- Conversion of mixed numbers to improper fractions
- Solutions for complex fractions
- Calculations of proportions and ratios
- Division of mixed numbers and fractions
- Subtraction and addition of unlike fractions and mixed numbers

### 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 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. 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.

### 12. 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.

### 13. Calculations with Ratios and Proportions

Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.

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### Other Chapters

Other chapters within the GMAT Prep: Help and Review course

- Basic Arithmetic Calculations: Help and Review
- Decimals and Percents: Help and Review
- Data & Statistics: Help and Review
- Basic Algebraic Expressions: Help and Review
- Exponents: Help and Review
- Algebraic Linear Equations & Inequalities: Help and Review
- Algebra - Absolute Value Equations & Inequalities: Help and Review
- Algebra - Polynomials: Help and Review
- Algebra - Rational Expressions: Help and Review
- Perimeter, Area & Volume: Help and Review
- Geometric Properties of Objects: Help and Review
- Geometric Graphing Basics: Help and Review
- Geometric Graphing Functions: Help and Review
- Writing Conventions - Grammar: Help and Review
- Usage in Writing: Help and Review
- Reading Comprehension for Test-Taking: Help and Review
- Critical Reasoning for Test-Taking: Help and Review
- Practical Applications for Test-Taking: Help and Review
- Essay Writing Basics: Help and Review
- Essay Clarity: Help and Review
- Editing Your Writing: Help and Review
- Practicing Analytical Writing: Help and Review
- GMAT Test: General Info
- GMAT Prep Flashcards