# Ch 2: Rational Numbers: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other GMAT prep work.
- Identify the rational numbers concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our GMAT Prep Tutoring Solution will benefit any student who is trying to learn rational numbers and prepare for the exam. This resource can help students including those who:

- Struggle with understanding how to build fractions, find least common denominators, multiply and divide fractions, calculate with ratios, estimate with fractions or any other rational numbers topic.
- Have limited time for studying
- Want a cost effective way to supplement their learning
- Prefer learning quantitative skills visually
- Find themselves struggling to prepare for the GMAT
- Cope with ADD or ADHD
- Want to get ahead in preparing for the GMAT
- Don't have access to their GMAT prep instructors outside of class

## Why it works:

**Engaging Tutors:**We make learning rational numbers simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live GMAT tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn rational numbers on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Learn how to compare, order and reduce fractions.
- Calculate least common denominators.
- Convert between improper fractions and mixed numbers.
- Add and subtract like and unlike fractions or mixed numbers.
- Divide and multiply fractions with mixed numbers.
- Estimate and solve problems with fractions and mixed numbers.
- Find the answers to problems with complex fractions.
- Understand how to work with ratios and proportions.

### 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: Tutoring Solution course

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